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

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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.

mr. flanders’ class sold 47 doughnuts and   mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations:

answer for #1 is c

answer for #2 is d

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