Question

solve the following system of equations. Express your answer as an ordered pair in the format (a,b), with no spaces between the numbers or symbol. 2x+7y=4 -4x-3y=14

Answer 1

The correct ordered pair to solve this system of equations is (-5, 2).

You can find this by using elimination. Start by multiplying the first equation by 2. Then you can add the two equations together and the x values will drop out. This allows you to solve for y like so:

4x + 14y = 8
-4x - 3y = 14

11y = 22
y = 2

Then you can use that value for y in either equation to find the x value.

2x + 7y = 4
2x + 7(2) = 4
2x + 14 = 4
2x = -10
x = -5

Answer 2

Given equation ---›

2x + 7y = 4 (1st equation)
-4x - 3y = 14 (2nd equation)

Multiply 1st equation by 2 and then add it by second equation


`= > 2(2x + 7y = 4) \\ \: \: \: \: \: \: \: \: + ( - 4x - 3y = 14) \\ \\ = > 4x + 14y = 8 \\ \: \: \: \: \: - 4x - 3y = 14 \\ \\ = > 11y = 22 \\ \\ = > y = 2`
So,
We get the value of y = 2

Now,,

`= > 2x + 7y = 4 \\ \\ = > 2x + 7(2) = 4 \\ \\ = > 2x = 4 - 14 \\ \\ = > 2x = - 10 \\ \\ = > x = - 5`
Therefore value of x = -5.

Expressing the answer as an ordered pair in the format (a,b) => (-5, 2)