# What is the solution of the system of equations? y = 2x - 3 5x + y = 11 A (2, 1) B (1, 2) C (3, -4) D (1, -1)

Question
Systems of equations
What is the solution of the system of equations?
y = 2x - 3
5x + y = 11
A (2, 1)
B (1, 2)
C (3, -4)
D (1, -1)

2021-02-21
Let:
y=2x−3(1)
5x+y=11(2)
Solve by substitution. Substitute (1) to (2) and solve for x:
5x+(2x−3)=11
7x−3=11
7x=14
x=2
Solve for yy using (1):
y=2(2)−3
y=1
So, the solution of the system is:
(2,1)
which is choice A.

### Relevant Questions

A system of linear equations is given below.
$$2x+4y=10$$
$$\displaystyle-{\frac{{{1}}}{{{2}}}}{x}+{3}={y}$$
Find the solution to the system of equations.
A. (0, -3)
B. (-6, 0)
C. There are infinite solutions.
D. There are no solutions.

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

Determine if (1,3) is a solution to the given system of linear equations.

$$5x+y=8$$

$$x+2y=5$$

Determine whether the ordered pair is a solution to the given system of linear equations.
(5,3)
$$x-y=2$$
$$x+y=8$$

Which of the following is an equation of the line that has a y-intercept of 2 and an x-intercept of 3?
(a) $$-2x + 3y = 4$$
(b) $$-2x + 3y = 6$$
(c) $$2x + 3y = 4$$
(d) $$2x + 3y = 6$$
(e) $$3x + 2y = 6$$

Consider the polynomial function $$p(x)=(3x^{2}-5x-2)(x-5)(x^{2}-4)$$.
A) what is the degree of the polynomial? What is the y intercept of the function?
B)What are the zeros and their multiplicities?
C) what is the leading term of the polynomial and what power function has a graph most similiar to the graph of p?
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
$$y=7x+8$$
$$y=x+1$$