x+y=15
4x+3y=38
4x+4y=60
4x+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=22
and x+y=15
x+22=15
x=15-22=-7
therefore ANSWER KEY
X=-7 Y=22
Checking answers
4x+3y=38
-28+66=38
THEREFORE
This is correct
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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)
7
yes
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