rewrite first equation: x = 15 - y
substitute into second equation for x: 4(15 - y) + 3y = 38
distribute and simplify: 60 - y = 38
solve: y = 22
plug back into first equation: x = -7
-OR-
multiply first equation by -3: -3x - 3y = -45
add new equation to second equation: 1x + 0y = -7 or x = -7
plug back into first equation: y = 22
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(1) x+y=15(2) 4x+3y=38From (1) one gets x=15 -y, put into(2)4(15-y)+3y=3860-4y+3y=3860-y=38y=22 then x=15-y=-7(-7,22) is the solution
x+y=15, or y=15-x4x+3y=38Substitute y in 2nd equation with 15-x:4x+45-3x=38x=-7y=15-(-7)=22(-7,22)
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x+y=154x+3y=384x+4y=604x+3y=38(4x+4y=60)-(4x+3y=38)-->(4x-4x+4y-3y=60-38)-->(0x+1y=22)-->[since 0x=0](1y[y]=22)given y=22and x+y=15x+22=15x=15-22=-7therefore ANSWER KEYX=-7 Y=22Checking answers4x+3y=38-28+66=38THEREFOREThis is correctIf you have problems please write a message on Its Me Ue's message board
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