Question

What is the solution to this system of linear equations 3x-2y=14 5x+y=32 brainly

Answer 1

$3x-2y=14\\5x+y=32$

Multiply 2 in the 5x+y=32 so that we can eliminate the "y"

$3x-2y=14\\5x(2)+(2)y=32(2)$

From 5x(2)+(2)y=32(2), $10x+2y=64$

$3x-2y=14\\10x+2y=64$

Then start eliminating the y,

$13x=78$ [3x+10x = 13x] [-2y+2y = 0] [14+64 = 78]

$x=\frac{78}{13}$

Therefore, $x=6$ but we are not done yet, we need to find the value of y.

Substitute x = 6 in any equations but only one equation so I'll substitute in 5x+y=32 instead.

$5(6)+y=32\\30+y=32\\y=32-30\\y=2$

Therefore, y = 2.

So the answer is x = 6, y = 2 or (6,2)

Answer 2

Answer:

x = 6

y = 2

Step-by-step explanation: