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2 years ago

What is the solution to this system of linear equations?

Mathematics

2 answers:

vova2212 [387]2 years ago

5 0

<h2>its is -<em>1,3</em> hope it helps ;)</h2>

sp2606 [1]2 years ago

3 0

The solution to the system of linear equations is (-1,3). Here's how I got my answer step by step using the substitution method.

Step 1: Solve for either x or y in one of the two equations.

y - 4x = 7
+ 4x   + 4x
-----------------------
y = 4x + 7

Step 2: Plug in the value that you got for x or y into the equation that you haven't worked with yet.

2(4x + 7) + 4x = 2
8x + 14 + 4x = 2

12x + 14 = 2
    - 14   - 14
-----------------------
12x = -12
------- -------
12 12

  x = -1

Step 3: Plug in the number you got for y or x into either of the two equations.

y - 4(-1) = 7
y + 4 = 7
- 4    - 4
-------------------
y = 3

The final answer is (-1,3). If you want to check to make sure that this coordinate is a solution to the system of equations, all you have to do is plug in -1 for x and 3 for y into both equations.

Equation 1: y - 4x = 7
Equation 2: 2y + 4x = 2

3 - 4(-1) = 7 2(3) + 4(-1) = 2
3 + 4 = 7 6 - 4 = 2
7 = 7        2 = 2

I hope all of this makes sense to you :)

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3 years ago

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riadik2000 [5.3K]

Expressions can be represented as equations, and vice versa.

A possible situation is as follows:

<em>John is 15 years old, and his age is 3 more than 5 times his brother's age</em>

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This means that:

15 represents John's age
P represents his brother's age
5 and 3 are the constants that relate their ages