Solve by substitution
4x+2y=10
x-y=13
2 answers:
<span>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
</span>
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
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