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:

What is the result of subtracting the second equation from the first? {:[-7x-y=0],[7x+8y=-6]:}

What is the result of subtracting the second equation from the first?\newline−7x−yamp;=07x+8yamp;=−6 \begin{aligned} -7 x-y & =0 \\ 7 x+8 y & =-6 \end{aligned}

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 2right chevron icon
Solve a system of equations using eliminationright chevron icon

Full solution

Q. What is the result of subtracting the second equation from the first?\newline−7x−y=07x+8y=−6 \begin{aligned} -7 x-y & =0 \\ 7 x+8 y & =-6 \end{aligned}
  1. Write Equations: First, let's write down the equations we are working with for clarity:\newline11) −7x−y=0-7x - y = 0\newline22) 7x+8y=−67x + 8y = -6\newlineWe are asked to subtract the second equation from the first. This means we will subtract each corresponding term in the second equation from the first equation.
  2. Subtract Second Equation: To subtract the second equation from the first, we perform the operation on each term:\newline(−7x)−(7x)=−7x−7x(-7x) - (7x) = -7x - 7x\newline(−y)−(8y)=−y−8y(-y) - (8y) = -y - 8y\newline(0)−(−6)=0+6(0) - (-6) = 0 + 6\newlineSo, the operation will look like this: (−7x−7x)+(−y−8y)=0+6(-7x - 7x) + (-y - 8y) = 0 + 6
  3. Perform Operation: Now, let's simplify the terms:\newline−7x−7x=−14x-7x - 7x = -14x\newline−y−8y=−9y-y - 8y = -9y\newline0+6=60 + 6 = 6\newlineSo, the simplified form of the subtraction is: −14x−9y=6-14x - 9y = 6

More problems from Solve a system of equations using elimination

Question
Solve using substitution. 5x−2y=−7 5x - 2y = -7 x=−5 x = -5 (_,_)
Get tutor helpright-arrow

Posted 5 months ago

Question
Is (1,1)(1,1) a solution to this system of equations? \newline4x+10y=144x + 10y = 14\newlinex+6y=7x + 6y = 7\newlineChoices:\newline(A) yes \newline(B) no
Get tutor helpright-arrow

Posted 5 months ago

Question
Which describes the system of equations below?\newliney=–3x+9y = –3x + 9 \newliney=–3x+9y = –3x + 9 \newlineChoices:\newline(A) consistent and independent\text{(A) consistent and independent} \newline(B) consistent and dependent\text{(B) consistent and dependent} \newline(C) inconsistent\text{(C) inconsistent}
Get tutor helpright-arrow

Posted 5 months ago

Question
Solve using elimination. \newline7x−8y=−17 7x - 8y = -17 \newline −7x+3y=2 -7x + 3y = 2 \newline (____,____)(\_\_\_\_, \_\_\_\_)
Get tutor helpright-arrow

Posted 5 months ago

Question
Solve. \newlinex=−2 x = -2 \newline−2x+2y=−8 -2x + 2y = -8 \newline(____,____)(\_\_\_\_, \_\_\_\_)
Get tutor helpright-arrow

Posted 9 months ago

Question
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.\newlineAt a community barbecue, Mrs. Wilkerson and Mr. Hogan are buying dinner for their families. Mrs. Wilkerson purchases 33 hot dog meals and 33 hamburger meals, paying a total of $36\$36. Mr. Hogan buys 11 hot dog meal and 33 hamburger meals, spending $26\$26 in all. How much do the meals cost?\newlineHot dog meals cost $\$_______ each, and hamburger meals cost $\$________ each.
Get tutor helpright-arrow

Posted 9 months ago

Question
Solve the system of equations by substitution.\newline−3x−y−3z=−11-3x - y - 3z = -11\newlinez=5z = 5\newlinex−y+3z=19x - y + 3z = 19\newline(____.____,____)
Get tutor helpright-arrow

Posted 5 months ago

Question
Solve the system of equations by elimination.\newlinex−3y−2z=10 x - 3y - 2z = 10 \newline3x+2y+2z=14 3x + 2y + 2z = 14 \newline2x−3y−2z=16 2x - 3y - 2z = 16 \newline(_,_,_)(\_,\_,\_)
Get tutor helpright-arrow

Posted 5 months ago

Question
Solve the system of equations.\newliney=x2+36x+3 y = x^2 + 36x + 3 \newliney=22x−37 y = 22x - 37 \newlineWrite the coordinates in exact form. Simplify all fractions and radicals.\newline(_,_)(\_,\_)\newline(_,_)(\_,\_)
Get tutor helpright-arrow

Posted 5 months ago

Question
Solve the system of equations.\newliney=−x−24 y = -x - 24 \newlinex2+y2=488 x^2 + y^2 = 488 \newlineWrite the coordinates in exact form. Simplify all fractions and radicals.\newline(_,_) (\_,\_) \newline(_,_) (\_,\_)
Get tutor helpright-arrow

Posted 5 months ago

View all (123)

Related topics

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