The solution to the system of equations is the ordered pair (-3, 1).
To solve the system of equations using substitution, we'll substitute the value of y from the second equation into the first equation.
Given:
Equation 1: 2x + 5y = -1
Equation 2: y = 3x + 10
Step 1: Substitute the value of y from Equation 2 into Equation 1:
2x + 5(3x + 10) = -1
Step 2: Simplify the equation:
2x + 15x + 50 = -1
17x + 50 = -1
Step 3: Solve for x:
17x = -1 - 50
17x = -51
x = -51/17
x = -3
Step 4: Substitute the value of x into Equation 2 to find y:
y = 3(-3) + 10
y = -9 + 10
y = 1
So the solution to the system of equations is the ordered pair (-3, 1).