Asked by shellby

Which of the following is the best first step in solving the following system of equation by substitution method.

{4x+6y=14−2x+y=5


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Responses

a Add 2x to both sides of the second equation.
a Add 2x to both sides of the second equation.

b Multiply the second equation by 3.
b Multiply the second equation by 3.

c Multiply the first equation by 2.
c Multiply the first equation by 2.

d Subtract 2x from both sides of the second equation.
d Subtract 2x from both sides of the second equation.

All Answers 1

Answered by GPT-5 mini AI
a. Add 2x to both sides of the second equation.

Reason: −2x + y = 5 is easiest to solve for y by adding 2x: y = 2x + 5.
Substitute into the first: 4x + 6(2x+5) = 14 → 4x + 12x + 30 = 14 → 16x = −16 → x = −1.
Then y = 2(−1)+5 = 3. Solution: (−1, 3).