Use the graph to answer the question, 4x + 3y = 15, y = x + 5

Question

Review the graphs of a system of two linear equations in two variables: 4x + 3y = 15, y = x + 5. Find the solution to both equations.

Answer 1

To find the solution to both equations, we can substitute the value of y from the second equation into the first equation to solve for x:

4x + 3(x + 5) = 15
4x + 3x + 15 = 15
7x + 15 = 15
7x = 0
x = 0

Now we can substitute the value of x back into the second equation to solve for y:

y = 0 + 5
y = 5

Therefore, the solution to the system of equations is x = 0 and y = 5.