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3 years ago

Solve the system by either the addition method or the substitution method.

Mathematics

1 answer:

GalinKa [24]3 years ago

6 0

Answer:x = - 5

y = 2

Step-by-step explanation:

The given system of simultaneous equations is expressed as

x + 3y = 1 - - - - - - - - - - - - - -1

4x + 4y = -12 - - - - - - - - - - - 2

We want to eliminate x. Multiplying equation 1 by 4 and equation 2 by 1, it becomes

4x + 12y = 4

4x + 4y = - 12

Subtracting the second equation from the first equation, it becomes

8y = 16

y = 16/8 = 2

Substituting y = 2 into equation 1, it becomes

x + 3 × 2 = 1

x + 6 = 1

x = 1 - 6 = - 5

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<h3>What are Like terms?</h3>

Like terms are those terms that are having the same variables, also the variables are of the same order as well.

for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.

We know that to simplify an expression we need to add or subtract like terms, therefore,

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Learn more about Like Terms:

brainly.com/question/2513478

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