Answer:
The solution is ([4], [19]).
Explanation:
To solve the system of equations using the substitution method, we can follow these steps:Step 1: Start with the given equations:
y = 4x + 3 (Equation 1)
y = 7 + 3x (Equation 2)Step 2: Choose one of the equations and solve for one of the variables in terms of the other variable. Let's choose Equation 1 and solve for y in terms of x:
y = 4x + 3Step 3: Substitute the expression for y from Equation 1 into Equation 2 and solve for x:
4x + 3 = 7 + 3x (Substituting y = 4x + 3 from Equation 1)
4x - 3x = 7 - 3
x = 4Step 4: Substitute the value of x found in Step 3 back into either Equation 1 or Equation 2 to solve for y. Let's use Equation 1:
y = 4(4) + 3 (Substituting x = 4)
y = 19So the solution to the system of equations is x = 4 and y = 19. Therefore, the solution is ([4], [19]).