Question

Solve the system of linear equations below, using substitution method.

8x + 9y = 36
3x + 4y = 16
0 (0,4)
хо (57.6.-47.2)
0 (4.4137, 2.9396)
O (5.6842,-0.2632)
5

Answer 1

The solution is (0,4).

Explanation:

We are given the following system of equations:

`8x + 9y = 36`

`3x + 4y = 16`

Solving by substitution.

In the first equation, we have that:

`8x + 9y = 36`

`8x = 36 - 9y`

`x = (36-9y)/(8)`

Replacing in the second equation:

`3x + 4y = 16`

`3(36-9y)/(8) + 4y = 16`

Multiplying everything by 7

`3(36 - 9y) + 32y = 128`

`108 - 27y + 32y = 128`

`5y = 20`

`y = (20)/(5)`

`y = 4`

Now, with y, we can find x.

`x = (36-9*4)/(8) = 0`

So the solution is (0,4).