Finish solving the system of equations, y = 7x – 3 and y = –x + 5, using the substitution method. 1. Use substitution to create a one-variable linear equation: 7x – 3 = –x + 5.

2. Solve to determine the unknown variable in the equation: 8x = 8

x = 1

3. Substitute the value of the variable into either original equation to solve for the other variable.

4. Write the solution to the system of equations as an ordered pair.

The solution to the system is

1. Use substitution to create a one-variable linear equation: 7x – 3 = –x + 5.

4. Write the solution to the system of equations as an ordered pair.

Explanation:

Given the following algebraic expressions;

y = 7x - 3  equation 1

y = -x + 5  equation 2

To solve the system of equations simultaneously using the substitution method;

First of all, we would use substitution to create a one-variable linear equation.

7x – 3 = –x + 5

Rearranging the equation (collecting like terms), we have;

7x + x = 5 + 8

8x = 13

x = 13/8

To find the value of y;

y = -x + 5

y = -13/8 + 5

y = (-13 + 40)/8

y = 27/8

Finally, we would write the solution to the system of equations as an ordered pair; (13/8, 27/8)

Therefore, the solution to the system is (13/8, 27/8)

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