Question

- 4x + 5y = 9 4x - 5y = -7

a. elimination using subtraction; (-2, 2)
b. elimination using addition; no solution
c. substitution; (7.7)
d. elimination using addition; (0,16)

Answer 1

The solution to the system of equations is (1/4, 8/5).

Step-by-step explanation:

The given system of equations is:

4x + 5y = 9

4x - 5y = -7

To solve this system of equations, we can use elimination method.

Adding the two equations together:

(4x + 5y) + (4x - 5y) = 9 + (-7)

8x = 2

x = 2/8

x = 1/4

Substituting the value of x into one of the original equations:

4(1/4) + 5y = 9

1 + 5y = 9

5y = 9 - 1

5y = 8

y = 8/5

So, the solution to the system of equations is (1/4, 8/5).