Question

3. Solve the system of equations without graphing. Show your reasoning.

ſ 2y = x - 4
4x + 3y = 5

Answer 1

X=2, y=-1

Explanation:

2y=x-4 equation 1

4x+3y=5 equation 2

x=2y+4 isolate x in equation 1

4(2y+4)+3y=5 substitute value of x from equation 1 into equation 2

8y+16+3y=5

11y=-11

y=-1

solve for x by inputting y value into either equation

2y=x-4

2(-1)=x-4

-2=x-4

2=x