Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

\begin{cases}0.5(8w+2v)=3\8w=2-v+4w\end{cases}\Which of the following accurately describes all solutions to the system of equations shown?1)$v=11) \$v=1 and w=14w=\frac{1}{4}2)$v=42) \$v=4 and w=14w=\frac{1}{4}\(3) There are infinite solutions to the system.\(4) There are no solutions to the system.

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
Compare linear and exponential growthright chevron icon

Full solution

Q. \begin{cases}0.5(8w+2v)=3\8w=2-v+4w\end{cases}\Which of the following accurately describes all solutions to the system of equations shown?1)$v=11) \$v=1 and w=14w=\frac{1}{4}2)$v=42) \$v=4 and w=14w=\frac{1}{4}\(3) There are infinite solutions to the system.\(4) There are no solutions to the system.
  1. Simplify and solve: Simplify and solve the first equation:\newline0.5(8w+2v)=30.5(8w + 2v) = 3\newlineExpand the equation:\newline4w+v=34w + v = 3
  2. Expand the equation: Simplify and solve the second equation:\newline8w=2−v+4w8w = 2 - v + 4w\newlineSubtract 4w4w from both sides:\newline4w=2−v4w = 2 - v
  3. Simplify and solve: Substitute the expression for 4w4w from the second equation into the first equation:\newline4w+v=34w + v = 3\newline(2−v)+v=3(2 - v) + v = 3\newline2=32 = 3

More problems from Compare linear and exponential growth

Question
We want to factor the following expression:\newlinex4+10x+25 x^{4}+10 x+25 \newlineWhich pattern can we use to factor the expression?\newlineU U and V V are either constant integers or single-variable expressions.\newlineChoose 11 answer:\newline(A) (U+V)2 (U+V)^{2} or (U−V)2 (U-V)^{2} \newline(B) (U+V)(U−V) (U+V)(U-V) \newline(C) We can't use any of the patterns.
Get tutor helpright-arrow

Posted 7 months ago

Question
We want to factor the following expression:\newline(x−2)4−(y+3)4 (x-2)^{4}-(y+3)^{4} \newlineWhich pattern can we use to factor the expression?\newlineU U and V V are either constant integers or single-variable expressions.\newlineChoose 11 answer:\newline(A) (U+V)2 (U+V)^{2} or (U−V)2 (U-V)^{2} \newline(B) (U+V)(U−V) (U+V)(U-V) \newline(C) We can't use any of the patterns.
Get tutor helpright-arrow

Posted 7 months ago

Question
We want to factor the following expression:\newline(x−1)2+(x−1)+4 (x-1)^{2}+(x-1)+4 \newlineWhich pattern can we use to factor the expression?\newlineU U and V V are either constant integers or single-variable expressions.\newlineChoose 11 answer:\newline(A) (U+V)2 (U+V)^{2} or (U−V)2 (U-V)^{2} \newline(B) (U+V)(U−V) (U+V)(U-V) \newline(C) We can't use any of the patterns.
Get tutor helpright-arrow

Posted 7 months ago

Question
We want to factor the following expression:\newline9x4+4y2 9 x^{4}+4 y^{2} \newlineWhich pattern can we use to factor the expression?\newlineU U and V V are either constant integers or single-variable expressions.\newlineChoose 11 answer:\newline(A) (U+V)2 (U+V)^{2} or (U−V)2 (U-V)^{2} \newline(B) (U+V)(U−V) (U+V)(U-V) \newline(C) We can't use any of the patterns.
Get tutor helpright-arrow

Posted 7 months ago

Question
We want to factor the following expression:\newline16x4−25 16 x^{4}-25 \newlineWhich pattern can we use to factor the expression?\newlineU U and V V are either constant integers or single-variable expressions.\newlineChoose 11 answer:\newline(A) (U+V)2 (U+V)^{2} or (U−V)2 (U-V)^{2} \newline(B) (U+V)(U−V) (U+V)(U-V) \newline(C) We can't use any of the patterns.
Get tutor helpright-arrow

Posted 7 months ago

Question
We want to factor the following expression:\newlinex4+3x2y+9y2 x^{4}+3 x^{2} y+9 y^{2} \newlineWhich pattern can we use to factor the expression?\newlineU U and V V are either constant integers or single-variable expressions.\newlineChoose 11 answer:\newline(A) (U+V)2 (U+V)^{2} or (U−V)2 (U-V)^{2} \newline(B) (U+V)(U−V) (U+V)(U-V) \newline(C) We can't use any of the patterns.
Get tutor helpright-arrow

Posted 7 months ago

Question
We want to factor the following expression:\newline(x+5)4+2(x+5)2−1 (x+5)^{4}+2(x+5)^{2}-1 \newlineWhich pattern can we use to factor the expression?\newlineU U and V V are either constant integers or single-variable expressions.\newlineChoose 11 answer:\newline(A) (U+V)2 (U+V)^{2} or (U−V)2 (U-V)^{2} \newline(B) (U+V)(U−V) (U+V)(U-V) \newline(C) We can't use any of the patterns.
Get tutor helpright-arrow

Posted 7 months ago

Question
We want to factor the following expression:\newline(x−3)2−10(x−3)+25 (x-3)^{2}-10(x-3)+25 \newlineWhich pattern can we use to factor the expression?\newlineU U and V V are either constant integers or single-variable expressions.\newlineChoose 11 answer:\newline(A) (U+V)2 (U+V)^{2} or (U−V)2 (U-V)^{2} \newline(B) (U+V)(U−V) (U+V)(U-V) \newline(C) We can't use any of the patterns.
Get tutor helpright-arrow

Posted 7 months ago

Question
We want to factor the following expression:\newline(x+7)2+2y(x+7)+y2 (x+7)^{2}+2 y(x+7)+y^{2} \newlineWhich pattern can we use to factor the expression?\newlineU U and V V are either constant integers or single-variable expressions.\newlineChoose 11 answer:\newline(A) (U+V)2 (U+V)^{2} or (U−V)2 (U-V)^{2} \newline(B) (U+V)(U−V) (U+V)(U-V) \newline(C) We can't use any of the patterns.
Get tutor helpright-arrow

Posted 7 months ago

Question
We want to factor the following expression:\newline9x6+6x3y+y2 9 x^{6}+6 x^{3} y+y^{2} \newlineWhich pattern can we use to factor the expression?\newlineU U and V V are either constant integers or single-variable expressions.\newlineChoose 11 answer:\newline(A) (U+V)2 (U+V)^{2} or (U−V)2 (U-V)^{2} \newline(B) (U+V)(U−V) (U+V)(U-V) \newline(C) We can't use any of the patterns.
Get tutor helpright-arrow

Posted 7 months ago

View all (50)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant