Question

Solve each system by elimination.
10x+3y=-23, 4x-y=-7

Answer 1

Answer: (x , y) (-2 , -1)

Explanation:

1. Multiply both sides by3

2. Eliminate the variable by adding the equations

3. Divide both sides which leaves you with x = -2

4. Substitute the value of X

5. Solve the equation and find Y

6. ANSWER: (-2 , -1)

Answer 2

To solve a system of equations by elimination, you can eliminate one of the variables by adding or subtracting the equations in such a way that one of the variables is eliminated.

For this system of equations:

10x + 3y = -23

4x - y = -7

We can eliminate the y variable by adding the equations:

(10x + 3y) + (4x - y) = (-23) + (-7)

14x + 2y = -30

Then we can solve for x:

14x = -30 - 2y

7x = -30/7 - y/7

x = -30/7 - y/7

Substituting this value of x back into either of the original equations, we can solve for y:

10(-30/7 - y/7) + 3y = -23

-300/7 - 10y/7 + 3y = -23

-300/7 + -7y/7 = -23

y = 35/7

Then we can substitute this value of y back into the equation we solved for x to find the value of x:

x = -30/7 - 35/7

x = -65/7

So the solution to the system of equations is x = -65/7 and y = 35/7.

Explanation: