What is the solution to this system of equations? 3x-y+5=0 2x+3y-4=0

What is the solution to this system of equations? 3x-y+5=0 2x+3y-4=0

Question
Equations
asked 2021-01-23
What is the solution to this system of equations?
3x-y+5=0
2x+3y-4=0

Answers (1)

2021-01-24
Step 1
Name the two equations as (1) and (2),
3x-y+5=0...(1)
2x+3y-4=0...(2)
Reframe equation (1) in the form y=mx+c
y=3x+5...(3)
Step 2
Substitute equation (3) in equation (2) and solve for x,
2x+3(3x+5)-4=0
2x+9x+15-4=0
11x+11=0
\(\displaystyle{x}=-\frac{{11}}{{11}}\)
x=-1
Step 3
Substitute value of x in equation (3),
y=3(-1)+5
y=2
Step 4
Hence the solution to the system of equations above is (-1,2)
0

Relevant Questions

asked 2021-03-29
Solve the system. If the system does not have one unique solution, also state whether the system is onconsistent or whether the equations are dependent.
2x-y+z=-3
x-3y=2
x+2y+z=-7
asked 2021-04-26
Solve the system of equations.
y=2x-5
3x+2y=18
asked 2021-05-03
Consider the following system of linear equations:
4x+2y=25
4x-y=-5
If the value of y is 10 what is the value of X for this system:
1.1.25
2.11.25
3.1.45
4.5
asked 2021-03-29
What are the parametric equations for the intersection of the planes x-y-z=1 and 2x + 3y + z = 2 ?
asked 2021-05-19
The method of undetermined coefficients can sometimes be used to solve first-order ordinary differential equations. Use the method to solve the following equations.
\(y'-3y=5e^{3x}\)
asked 2021-04-02
Solve the system of equations using the addition/elimination method.
4x+3y=15
2x-5y=1
asked 2021-02-14

Find the solution (x,y)to the system of equations.
\(\begin{cases}3x + y = 28\\-x+3y=4\end{cases}\)
Multiply the coordinates \(x \cdot y\)

asked 2021-03-28
Find all the solutions of the system of equations:
x+2y-z=0, 2x+y+z=0, x-4y+5z=0.
asked 2021-06-10
Solve the equation \((\sqrt{x^{2}-3x})=2x-6\), inequality, or system of equations.
asked 2020-10-23

Determine whether the ordered pair is a solution to the given system of linear equations.
(1,2)
\(\left\{\begin{matrix} 3x−y=1 \\ 2x+3y=8 \end{matrix}\right\}\)

...