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2 years ago

Solve this system of equations: y=2x x=-y+6 plz don't guess

Mathematics

2 answers:

CaHeK987 [17]2 years ago

5 0

Use substitution
y = 2(-y + 6)
y = -2y + 12
3y = 12, y = 4
4 = 2x, x = 2
Solution: x = 2, y = 4

Pachacha [2.7K]2 years ago

5 0

(2,4) is your ordered pair

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Step-by-step explanation:

Given,

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We know that,

1 quarter = 25 cents

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Let,

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According to given statement;

25x+10y=630 Eqn 1

The number of dimes is 14 more than the number of quarters

y = x+14 Eqn 2

Putting value of y from Eqn 2 in Eqn 1

$25x+10(x+14)=630\\25x+10x+140=630\\35x=630-140\\35x=490$

Dividing both sides by 35

$\frac{35x}{35}=\frac{490}{35}\\x=14$

Putting x=14 in Eqn 2

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Connor has 14 quarters and 28 dimes.

Keywords: linear equation, substitution method

Learn more about substitution method at:

#LearnwithBrainly

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