Question

Solve the system of equations.

5x + y = 9
3x + 2y = 4

Answer 1

@iGreen @sammixboo

Answer 2

ok imma use the substitution method
starting with 5x + y = 9

5x + y = 9
5x + y - 5x = 9 - 5x
y = 9 - 5x

so y = 9 - 5x
plug that in to this equation 3x + 2y = 4

3x + 2(9 - 5x) = 4
3x + 18 - 10x = 4
-7x + 18 = 4
-7x + 18 - 18 = 4 - 18
-7x = -14
-7x/-7 = -14/-7
x = 2

ok so plug in 2 where x is in 5x + y = 9

5*2 + y = 9
10 + y = 9
10 + y - 10 = 9 - 10
y = -1

so the solution for the two equations is (2, -1) right?

Answer 3

i am going to check

5x + y = 9
5*2 + -1 = 9
10 + -1 = 9
9 = 9

3*2 + 2*-1 = 4
6 + -2 = 4
4 = 4

@iGreen @sammixboo

Answer 4

i am guessing OS stopped loading for you @sammixboo

Answer 5

Back! And yeah, OS just stopped. You are correct!

Answer 6

\(\Huge\color{lime} \checkmark\)

Excellent work.