Given the following system of equations:3𝑥−2𝑦=73x−2y=7𝑥+𝑦=−1x+y=−1Solve to find the solution to the system.

Question

Given the following system of equations:

$3x - 2y = 7$ $x + y = -1$

Solve to find the solution to the system.

🧐 Not the exact question you are looking for?Go ask a question

Solution

To solve the system of equations, we can use either substitution or elimination method. Here, we will use the substitution method.

The system of equations is:

3x - 2y = 7
x + y = -1

First, we can solve the second equation for x:

x = -1 - y

Then, we substitute x in the first equation:

3(-1 - y) - 2y = 7 -3 - 3y - 2y = 7 -5y - 3 = 7 -5y = 10 y = -2

Substitute y = -2 into the second equation:

x + (-2) = -1 x = 1

So, the solution to the system of equations is x = 1, y = -2.

This problem has been solved

Similar Questions

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

Given the following system of equations:3𝑥−2𝑦=73x−2y=7𝑥+𝑦=−1x+y=−1Solve to find the solution to the system.

Solve the following system of equations graphically on the set of axes below.y, equals, minus, x, plus, 2y=−x+22, x, minus, y, equals, 72x−y=7

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.10, x, plus, 9, y, equals, minus, 1710x+9y=−1710, x, minus, 2, y, equals, 1610x−2y=16

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.