Answer:
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)
