What is the solution to this linear system? Enter a value in each box to create an ordered pair.

We want to see the solution of a system of equations by looking at its graph, we can see that the solution is the point (2, 3)

A system of equations is a group of equations that must be solved simultaneously. When graphed, these solutions appear as intersections between the curves that represent each equation.

So for the graphed system, the solution is just the intersection between the two lines, we can see that it happens at the point (2, 3).

If you want to learn more, you can read:

link

(2, 3)

Step-by-step explanation:

First of all, let us understand what does a linear system mean.

A linear system means a mathematical model that contains more than one linear equations.

Linear equations mean maximum power of the variable is 1.

Now, how to solve for system of linear equations.

There are two methods to solve the system:

1. From equations: A linear equation is generally written as:

Two such equations are solved for the values of and .

2. From Graph:

The intersecting point of the graphs of the equations is the solution of the system of linear equations.

Now, let us consider the given graph of two lines.

The intersecting point is (2, 3)

Where 2 is the value of x coordinate and

3 is the value of y coordinate.

So, solution is (2, 3)

Please refer to the attached image for the answer.

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

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gimmee one of those gold crowns!

~coco