What is the x-value in the solution to this system of linear equations?

2x − y = 11

x + 3y = −5

−3
−1
2
4

4 is the x-value in the solution to this system of linear equations.

Step-by-step explanation:

Given :

..[1]

..[2]

to find =  x= ?

Solution :

Using substitution method to determine values of x and y.

..[1]

Now putting value of y from [1] into [2];

y = 2x-11 = 2 × 4 - 11 = -3

4 is the x-value in the solution to this system of linear equations.

The x-value in the solution to this system of linear equations is

Further explanation:

The linear equation with slope m and intercept c is given as follows,

The formula for slope of line with points can be expressed as,

Given:

The options are as follows,

(a).

(b).

(c).

(d).

Explanation:

The equations are

Solve for the value of .

Equate the value of .

The value of can be obtained as follows,

The x-value in the solution to this system of linear equations is

Learn more:

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Linear equation

Keywords: numbers, slope, slope intercept, inequality, equation, system, linear equations, x-value, solution, linear equations, y-intercept, graph, representation, origin.

1/2*qr*rs

step-by-step explanation: