Question

Part E

The equations you wrote in parts B and D form a system of equations. Solve the system of equations algebraically. What is the solution? Is it the
same solution that you found graphically?

Answer 1

The solution for the system of equations is (4,10). This solution is the same as the answer found graphically.

Explanation:

I know they answered but this is the step by step explanation on edmentum.

Use substitution to solve this system of equations.

y = x + 6

y = 3/2 x + 4

Substitute the expression for y from y the first equation for y in the second equation.

x + 6 = 3/2 x + 4

x - 3/2 x = 4 - 6

-x/2 = -2

-x = -4

x = 4

Substitute 4 for x in y = x + 6 .

y = 6

y = 10

Answer 2

Part A: The y-coordinate when x=0 is 6. So, the y-intercept is 6

Part B: The equation for a line is y = mx + b, where m is the slope and b is the y-intercept. For plant A, the slope is 1 and the y-intercept is 6. So, the equation for the line is y = x + 6.

Part C:The y-coordinate when x=0 is 4. So, the y-intercept is 4.

Part D:The equation for a line is y=mx+b, where m is the slope and b is the y-intercept. For plant B, the slope is 3/2 and the y-intercept is 4. So, the equation for the line is y= 3/2x+4.

Part E:The solution for the system of equations is (4,10). This solution is the same as the answer found graphically.

Answers straight from plato/Edmentum Hope this helps:) !