Question

Solve the system of equations given below.

1) (-6,-3)
2) (-7,-6)
3) (-6,3)
4) (-3,6)

Answer 1

To solve the system of equations, we can substitute the value of y from Equation 2 into Equations 1 and 3. By simplifying and solving, we find that x = 1 and y = 2.

Step-by-step explanation:

To solve the given system of equations, we need to find the values of x and y that satisfy all three equations. Let's solve them step by step:

Equation 1: 7y = 6x + 8

Equation 2: 4y = 8

Equation 3: y + 7 = 3x

First, let's solve Equation 2 for y:

4y = 8

y = 8/4

y = 2

Now, we can substitute this value of y into Equations 1 and 3 to solve for x:

7(2) = 6x + 8

14 = 6x + 8

6x = 14 - 8

6x = 6

x = 6/6

x = 1

Therefore, the solution to the system of equations is x = 1 and y = 2.