Knowee
Questions
Features
Study Tools

Find the solution of the system of equations.4, x, minus, 7, y, equals, 424x−7y=422, x, minus, 8, y, equals, 302x−8y=30

Question

Find the solution of the system of equations.

The system of equations is:

  1. 4x−7y=424 4x - 7y = 424
  2. x−8y=30 x - 8y = 30
🧐 Not the exact question you are looking for?Go ask a question

Solution

To solve the system of equations:

4x - 7y = 42 2x - 8y = 30

We can use the method of substitution or elimination. Here, I'll use the elimination method.

First, we can multiply the second equation by 2 to make the coefficients of x in both equations the same:

4x - 7y = 42 4x - 16y = 60

Now, subtract the second equation from the first:

4x - 4x - 7y + 16y = 42 - 60 9y = -18

Divide by 9:

y = -18 / 9 y = -2

Substitute y = -2 into the first equation:

4x - 7(-2) = 42 4x + 14 = 42 4x = 42 - 14 4x = 28 x = 28 / 4 x = 7

So, the solution to the system of equations is x = 7, y = -2.

This problem has been solved

Similar Questions

Find the solution of the system of equations.4, x, minus, 7, y, equals, 424x−7y=422, x, minus, 8, y, equals, 302x−8y=30

Find the solution of the system of equations.minus, 7, x, minus, 4, y, equals, minus, 44−7x−4y=−447, x, minus, 3, y, equals, 167x−3y=16

ind the solution of the system of equations.9, x, minus, 2, y, equals, minus, 509x−2y=−50minus, 3, x, plus, 7, y, equals, 4−3x+7y=4AnswerAttempt 2 out of 2

Find the solution of the system of equations.8, x, minus, 10, y, equals, 288x−10y=284, x, minus, y, equals, 64x−y=6

Find the solution of the system of equations.7, x, minus, 7, y, equals, 77x−7y=7minus, 4, x, minus, 7, y, equals, minus, 26−4x−7y=−26

1/3

Upgrade your grade with Knowee

Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.