Question

What is the solution to the system of equations? y=0.7x −22x+y=25

a. (15, 8.5)
b. (10, 5)
c. (3, 0.1)

Answer 1

The solution to the system of equations y = 0.7x - 22 and x + y = 25 is (27.65, 6.355).

Step-by-step explanation:

The given system of equations is:

y = 0.7x - 22

x + y = 25

To solve this system, we can use the substitution or elimination method. Let's use the substitution method:

1. Solve the first equation for y in terms of x:

y = 0.7x - 22

2. Substitute this value of y into the second equation:

x + (0.7x - 22) = 25

3. Simplify and solve for x:

1.7x - 22 = 25

1.7x = 47

x = 47/1.7 = 27.65

4. Substitute this value of x back into the first equation to find y:

y = 0.7(27.65) - 22 = 6.355

Therefore, the solution to the system of equations is (27.65, 6.355).