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:

Find the solution of the system of equations. {:[6x+4y=-46],[6x+6y=-42]:}\(_________,________)"

Find the solution of the system of equations.\newline6x+4y=−466x+6y=−42 \begin{array}{l} 6 x+4 y=-46 \\ 6 x+6 y=-42 \end{array} \newline(_________,________)

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Grade 8right chevron icon
Write an equation word problemright chevron icon

Full solution

Q. Find the solution of the system of equations.\newline6x+4y=−466x+6y=−42 \begin{array}{l} 6 x+4 y=-46 \\ 6 x+6 y=-42 \end{array} \newline(_________,________)
  1. Eliminate x: Subtract the second equation from the first to eliminate x.\newline(6x+4y)−(6x+6y)=−46−(−42)(6x + 4y) - (6x + 6y) = -46 - (-42)
  2. Simplify subtraction: Simplify the subtraction. 6x−6x+4y−6y=−46+426x - 6x + 4y - 6y = -46 + 42
  3. Combine like terms: Combine like terms.\newline0x−2y=−40x - 2y = -4
  4. Solve for y: Solve for y.\newline−2y=−4-2y = -4\newliney=−4−2y = \frac{-4}{-2}\newliney=2y = 2
  5. Substitute for yy: Substitute y=2y = 2 into one of the original equations to solve for xx.6x+4(2)=−466x + 4(2) = -46
  6. Multiply and simplify: Multiply 44 by 22. \newline6x+8=−466x + 8 = -46
  7. Subtract from both sides: Subtract 88 from both sides.\newline6x=−46−86x = -46 - 8
  8. Combine numbers: Combine the numbers on the right. 6x=−546x = -54
  9. Divide to solve for x: Divide both sides by 66 to solve for xx.\newlinex=−54/6x = -54 / 6\newlinex=−9x = -9

More problems from Write an equation word problem

Question
Write the sentence as an equation. \newline138 138 is equal to the quotient of w w and 30 30 \newlineType a slash ( / / ) if you want to use a division sign. \newline_____
Get tutor helpright-arrow

Posted 8 months ago

Question
Solve for x. \newline(27)x=−14(\frac{2}{7})x= -14 \newline x=x = ______
Get tutor helpright-arrow

Posted 9 months ago

Question
(85)x=32(\frac{8}{5})x= 32
Get tutor helpright-arrow

Posted 9 months ago

Question
Simplify. \newline2+22+2 \newline ______
Get tutor helpright-arrow

Posted 1 month ago

Question
Graph −27x+18y=54-27x+18y=54.
Get tutor helpright-arrow

Posted 3 months ago

Question
Evaluate.\newline48.5−0.434=48.5-0.434=
Get tutor helpright-arrow

Posted 10 months ago

Question
Evaluate.\newline96.7−0.163=96.7-0.163=
Get tutor helpright-arrow

Posted 10 months ago

Question
Evaluate.\newline4.43−0.283=4.43-0.283=
Get tutor helpright-arrow

Posted 10 months ago

Question
Evaluate.\newline3.05−0.338=3.05-0.338=
Get tutor helpright-arrow

Posted 10 months ago

Question
Evaluate.\newline6.168−0.432=6.168-0.432=
Get tutor helpright-arrow

Posted 10 months ago

View all (211)

Related topics

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