Question

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4x + 3y = 15 y 15- 14- The intersection point is 13- 12- 11 10- -9- ∞06.200 -8- 7 6- -52 -4 3- 2- 1- -0- -10-9-8-7 -6 -5 -4 -3 -2 -1,0 1 23 F-11 -2- -3- -4- -5- ge 5 y = x + 5 6 7 8 9 10 Review the graphs of a system of two linear equations in two variables: 4x + 3y = 15 and y = x + 5. Find the solution to both equations. (1 point)

Answer 1

To find the solution to the system of equations, we can solve them simultaneously. First, let's rewrite the equations:

4x + 3y = 15
y = x + 5

Now, substitute the value of y from the second equation into the first equation:

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

Next, subtract 15 from both sides:

7x = 0

Divide both sides by 7:

x = 0

Now, substitute the value of x into one of the original equations to find y:

y = 0 + 5
y = 5

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