substitution method 2x-3y=29 and x+y=2
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ANSWER:
x=7 and y=(-5)
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STEP BY STEP EXPLANATION
2x-3y=29.............(1)
x+y=2...............(2)
From equation (2):
x=2-y.....[goes to equation (2)]
2(2-y)-3y=29
4-2y-3y=29
4-5y=29
-5y=29-4
-5y=25
y=-25/5
y=-5........[goes to equation (2)]
x+(-5)=2
x-5=2
x=2+5
x=7
Therefore,x=7 and y=(-5)...
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VERIFICATION:
☆x=7 & y=(-5)substitute in equation (1)
LHS=2(7)-3(-5)
=14+15
=29
LHS=RHS
29=29
☆x=7 & y=(5)substitute in equation (2)
LHS=7+(-5)
=2
LHS=RHS
2=2
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