since 5y appears in both equations, just subtract and you get
7x = 35
x = 5
Then use that in either equation to figure y.
Solve the system of equations using the linear combination method.
{9x+5y=35
2x+5y=0
2 answers
9 x + 5 y = 35
-
2 x + 5 y = 0
__________
9 x - 2 x + 5 y - 5 y = 35 - 0
7 x = 35
x = 35 / 7
x = 5
Sustitute this in 9 x + 5 y = 35
9 ∙ 5 + 5 y = 35
45 + 5 y = 35
5 y = 35 - 45
5 y = - 10
y = - 10 / 5
y = - 2
-
2 x + 5 y = 0
__________
9 x - 2 x + 5 y - 5 y = 35 - 0
7 x = 35
x = 35 / 7
x = 5
Sustitute this in 9 x + 5 y = 35
9 ∙ 5 + 5 y = 35
45 + 5 y = 35
5 y = 35 - 45
5 y = - 10
y = - 10 / 5
y = - 2
3 answers