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2 years ago

Use the substitution method to determine the solution to the system of equations below. y-2x+2=1 6x - 3y = 3

Mathematics

2 answers:

vaieri [72.5K]2 years ago

7 0

Answer:

y = 2x - 1

Step-by-step explanation:

y - 2x + 2 = 1

6x - 3y = 3

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<u /> $y - 2x + 2 = 1 \\ +2x - 2 +2x - 2\\y = 2x - 1$

Plug in for y:

6x - 3(2x - 1) = 3

6x - 6x + 3 = 3

Simplified, 3 = 3

zysi [14]2 years ago

5 0

Answer: this solution has infinite solutions

Step-by-step explanation:

original system:

y-2x+2 = 1

6x-3y = 3

Move 2 to right side of equation

y -2x = -1

-3y+6x = 3

solve for y in first equation

⇒ y = 2x - 1

insert y into second equation

⇒ -3(2x-1) + 6x = 3

simplify

⇒ -6x+3+6x = 3

simplify once more

⇒ 3 = 3

this solution has infinite solutions

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Use the substitution method to determine the solution to the system of equations below. y-2x+2=1 6x - 3y = 3​

Use the substitution method to determine the solution to the system of equations below. y-2x+2=1 6x - 3y = 3