Answer:
Explanation:
Solve 2x−9y=14;−5x+9y=−8
Steps:
I will solve your system by substitution.
(You can also solve this system by elimination.)
2x−9y=14;−5x+9y=−8
Step: Solve2x−9y=14for x:
2x−9y+9y=14+9y(Add 9y to both sides)
2x=9y+14
2x
2
=
9y+14
2
(Divide both sides by 2)
x= 9
2
y+7
Step: Substitute
9
2
y+7forxin−5x+9y=−8:
−5x+9y=−8
−5(
9
2
y+7)+9y=−8
−27
2
y−35=−8(Simplify both sides of the equation)
−27
2
y−35+35=−8+35(Add 35 to both sides)
−27
2
y=27
−27
2
y
−27
2
=
27
−27
2
(Divide both sides by (-27)/2)
y=−2
Step: Substitute−2foryinx=
9/ 2
y+7:
x= 9/ 2 y+7
x= 9/ 2 (−2)+7
x=−2(Simplify both sides of the equation)
Answer:
x=−2 and y=−2
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