The solution to system of equations is (x, y) = (-2, 1)
Solution:
Given that we have to solve the system of equations algebrically
Given two equations are:
y = 7x + 15 -------- eqn 1
y = 4x + 9 --------- eqn 2
We can use substitution method to solve the given system of equations
Substitute eqn 2 in eqn 1 and solve for the unknown variable
4x + 9 = 7x + 15
4x - 7x = 15 - 9
-3x = 6
x = -2
Now substitute x = -2 in any one of equations and solve for y
Let us substitute x = -2 in eqn 1
y = 7(-2) + 15
y = -14 + 15
y = 1
Thus the solution to system of equations is (x, y) = (-2, 1)