What is the x-coordinate of the solution for the system of equations?
y-x=9
10+2x=-2y
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y-x=9(eq. 1)
10+2x=-2y(eq. 2)
In eq. 1,
-x=9-y
x=-(9-y)
x=-9+y
Substituting value of x in eq. 2
10+2(-9+y)=-2y
10+(-18)+2y=-2y
10-18+2y=-2y
-8=-2y-2y
-8=-4y
y=-8/-4
y=2
Substituting value of y in eq. 1,
y-x=9
2-x=9
-x=9-2
-x=7
x=-7
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10+2x=-2y(eq. 2)
In eq. 1,
-x=9-y
x=-(9-y)
x=-9+y
Substituting value of x in eq. 2
10+2(-9+y)=-2y
10+(-18)+2y=-2y
10-18+2y=-2y
-8=-2y-2y
-8=-4y
y=-8/-4
y=2
Substituting value of y in eq. 1,
y-x=9
2-x=9
-x=9-2
-x=7
x=-7
HOPE this helps
Please mark brainliest ✌
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