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3 years ago

WILL MARK BRAINLIEST RESPOND ASAP

Mathematics

1 answer:

Vaselesa [24]3 years ago

7 0

Answer:

(1, 2)

Step-by-step explanation:

Substitution

Rearrange one of the two equations so that "y" is isolated, or by itself on one side of the equal sign.

3x + y = 5 => y = 5 - 3x

Substitute y for 5-3x in the other equation:

5x - 4y = -3

5x - 4(5 - 3x) = -3 Use the distributive property to expand

5x - 20 + 12x = -3 Collect like terms to simplify

17x - 20 = -3 Start isolating x

17x = -3 + 20

17x = 17 Divide both sides by 17

x = 1

Substitute x = 1 into one of the equations to find "y"

3x + y = 5

3(1) + y = 5

3 + y = 5 Isolate y by subtracting 3 from both sides

y = 2

Therefore the solution is (1, 2).

Elimination

Multiply one of the equations so that in each equation, there is a common variable and coefficient.

Multiply 3x + y = 5 by 4. It becomes 12x + 4y = 20.

Add each of the terms to add the equations together:

. 12x + 4y = 20

+ 5x - 4y = -3 If you add these two equations, the y variable is eliminated.

17x = 17 Divide both sides by 17 to isolate x

x = 1

Substitute x=1 into any of the equations.

3x + y = 5

3(1) + y = 5

3 + y = 5 Rearrange to isolate y

y = 2

Therefore the solutions is (1, 2).

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