Solve the system of linear equations by substitution. 5x+2y=9 y-x= 8
2 answers:
- From equation 2(y-x=8)
- y=8+x.....name equation 3
- Sub equation 3 in equation 1
- 5x+2(8+x)-9=0 (Transpose the 9)
- 5x+16+2x-9=0 (Group the like terms)
- 5x+2x+16-9
- 7x+7
- x=7+7=14
- x=14
Answer:
x=1
y=9
Step-by-step explanation:
5x+2y=9 , y-x= 8
y=8+x
put 8+ x anywhere we see y
5x+2(8+x)=9
5x+16+2x=9
5x+2x+16=9
7x+16=9
16-9=7x
7=7x
divide both sides by 7
x=1
if x=1, then y-1=8
y=8+1
y=9
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