By substitution, the solution of the system of equations, 3x - y = 5 and y = 4x + 2, is (-7 , -26).
A system of linear equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy both equations.
There are three methods that can be used to solve system of linear equations.
1. Elimination
2. Substitution
3. Graphing
Given two linear equations in x and y,
3x - y = 5 (equation 1)
y = 4x + 2 (equation 2)
Use substitution method since the second equation is already expressed in y in terms of x. Substitute the value of y to the first equation.
3x - y = 5 (equation 1)
3x - (4x + 2) = 5
3x - 4x - 2 = 5
Combining all terms containing the variable x on one side and the constants on the other side of the equality, and solve for x.
3x - 4x - 2 = 5
3x - 4x = 5 + 2
-x = 7
x = -7
Substitute the value of x in the second equation and solve for y.
y = 4x + 2 (equation 2)
y = 4(-7) + 2
y = -28 + 2
y = -26
Hence, the solution of the given system of equations is (-7 , -26).
To learn more about solving systems of equations: brainly.com/question/25869125
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