algebra

What is the solution of the system?
Solve the system of equations using the substitution method.
x-y=-1
5x+4y=-23

1. 👍 0
2. 👎 0
3. 👁 112
1. Eqn (1) to be mly by 4,
then we have 4x-4y=-4,
(2)5x+4y=-23
----------
9x+ 0=-27
9x=-27
x=-27/9=-3
x=-3.
to get y,
we substitute in the eqn(1)
(x-y=-1) as -3-y=-1
-3+1=y
y=-2.

Therefore, we get x=-3
y=-2

1. 👍 0
2. 👎 0

Similar Questions

1. Linear Equations

Can you please help solve this equation using the substitution method? I have tried and keep getting that X and Y = 7/2, but the answer in the book states no solution, inconsistent system. What am I doing wrong? Please help! Solve

asked by Mia on March 2, 2010
2. Algebra

I can find no solution to this system of equations. Solve the system of equations using the substitution method 2x + 4y = -2 2x - y = 4

asked by slomo on January 7, 2015
3. algebra

i need help with these problems (either a solution or how to plug them into a graphing calculator): 1) Solve by substitution or elimination 4/x + 1/y + 2/z = 4 2/x + 3/y - 1/z = 1 1/x + 1/y + 1/z = 4 2)Solve the system of

asked by Alyssa on April 5, 2011
4. math written assignment help

A’s DJ service charges a \$200 setup fee and \$75 an hour after that. B’s DJ service charges no setup fee but costs \$125 an hour. (4 points) Set up equations for both of the services using x and y. Determine the variables and

asked by kate on December 11, 2015

What advantages does the method of substitution have over graphing for solving systems of equations? Choose the correct answer below. A. Graphing cannot be used to solve dependent or inconsistent systems due to the nature of the

asked by zwgz123 on December 15, 2017
6. calculus

When using the substitution method to solve a nonlinear system of equations, you should first see if you can _____ one variable in one of the equations in the system.

asked by heaven on January 28, 2010
7. algebra

Can someone help me figure this out please? when you solve a system of equations by the substitution method, how do you determine whether the system of equations is inconsistent? thank you anyone

asked by don on March 18, 2012
8. math

If it says use the method of substitution to solve the system of linear equations 3a=6-b 3a=4-b How do i find the solution