Question

Solve each system of equations by elimination . Clearly identify your solution.x + 5y = 20) (2x - 7y = -45

Answer 1

In this case, we'll have to carry out several steps to find the solution.

Step 01:

Data

x + 5y = 20 eq.1

2x - 7y = -45 eq.2

x = ?

y = ?

Step 02:

Elimination method

x + 5y = 20 * (-2)

2x - 7y = -45

-2x - 10y = -40

2x - 7y = -45

______________

-17y = - 85

y = -85 / - 17

y = 5

eq.1

x + 5y = 20

x + 5(5) = 20

x + 25 = 20

x = 20 - 25

x = - 5

The answer is:

y = 5

x = -5