Question

What is the solution of the system?

Use the elimination method.

{4x+3y=62x+2y=5

The only solution is (−32,  4) .

The only solution is (0, 2) .

There are an infinite number of solutions.

There is no solution.

Answer 1

Answer: its A i took the test

Explanation:

Answer 2

Option A is correct

`(-(3)/(2), 4)`

Explanation:

Given the system of equations:

`4x+3y = 6` ......[1]

`2x+2y = 5` .....[2]

Multiply equation [2] by 2 to both sides we have;

`4x+4y = 10` ......[3]

Subtract [1] from [3] to eliminate x we have;

`4x+4y-4x-3y=10-6`

Combine like terms;

`y = 4`

Substitute this in [1] we have;

`4x+12 = 6`

Subtract 12 from both sides we have;

4x = -6

Divide both sides by 4 we get;

`x = -(3)/(2)`

therefore, the solution of the given system of equations is:

`(-(3)/(2), 4)`