Question

Solve by substitution 4x+2y=10 x-y=13

Answer 1

4x+2y=10
x-y=13

x=13+y
4(13+y)+2y=10
52+4y+2y=10
52+6y=10
6y=-42
y=-7
x=13+y=13-7=6

Answer 2

Equation 1: 4x+2y=10
Equation 2: X-y= 13

From Equation 2:

X = 13+Y

Substitute X into Equation 1:

4(13+Y)+2Y=10
52+4Y+2Y=10
52+6Y=10
6Y=10-52
6Y=-42
Y=-7

Substitute Y into Equation 2:

X-(-7)= 13
X+7=13
X=6

Therefore: Y= -7; X=6