review the graphs of a system of two linear equations in two varibles: 4x+3y=15 and y=x+5 find the solution to both equations
To find the solution to both equations, we can first plot the graphs of both equations to see where they intersect.
Equation 1: 4x + 3y = 15
Solving for y, we get y = (-4/3)x + 5. This equation represents a line with a slope of -4/3 and a y-intercept of 5.
Equation 2: y = x + 5
This equation represents a line with a slope of 1 and a y-intercept of 5.
Plotting both equations on a graph, we see that they intersect at the point (3, 8).
Therefore, the solution to both equations is x = 3 and y = 8. This point satisfies both equations simultaneously.