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18 votes
Solve, using the substitution method.

x = 10

y = 2x – 6


(10, 14)


(10, 4)


(10, –4)


(10, –1)

2 Answers

10 votes
First, we substitute the x value into the equation below, which is essentially saying
y = 2(10) - 6
We multiply and get
y = 20 - 6
Subtract, and get a final answer of
y = 14

x = 10
y = 14

So the answer is (10, 14)

Hope this helps!
User Karue Benson Karue
by
7.7k points
6 votes

Answer:

(10, 14)

Explanation:

Hello there!

Given such a problem, we have been told to use substitution method to solve it.

To cut it short, substitution refers to replacing a variable with a value.

Here is a way to solve this problem even in future:

  1. simplify the equation given
  2. solve the equation for the variable x or y
  3. substitute as step 2 above for the other variable
  4. solve the newly obtained equation
  5. and finally solve the equation to find the value of variable not yet obtained.

Back to our problem,

y = 2x - 6, x = 10

Substitute x into equation y = 2x - 6

y = 2(10) - 6

= 20 - 6

= 14

. ° . x = 10, y = 14

Variables in terms of x and y

(x, y) = (10,14)

This is our answer.

I hope this helps.

Have a nice studies.

User Bgi
by
8.7k points

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