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# If y = 4x + 10 and y = 7x – 5, what is the value of y?

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Joined: 02 Sep 2009
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If y = 4x + 10 and y = 7x – 5, what is the value of y?  [#permalink]

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13 Dec 2018, 01:08
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Difficulty:

5% (low)

Question Stats:

93% (01:01) correct 7% (01:19) wrong based on 32 sessions

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If $$y = 4x + 10$$ and $$y = 7x - 5$$, what is the value of y?

A. 20
B. 30
C. 40
D. 60
E. 90

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Re: If y = 4x + 10 and y = 7x – 5, what is the value of y?  [#permalink]

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13 Dec 2018, 01:11
Bunuel wrote:
If $$y = 4x + 10$$ and $$y = 7x - 5$$, what is the value of y?

A. 20
B. 30
C. 40
D. 60
E. 90

4x + 10 = 7x -5

3x = 15

x = 5.

y = 4x +10

y = 4*5 + 10

y =30.

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Re: If y = 4x + 10 and y = 7x – 5, what is the value of y?  [#permalink]

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21 Dec 2018, 10:09
System of equation; can be solved either through elimination or combination. Elimination is quicker imo.

y = 4x + 10 (x 7)
y = 7x - 5 (x 4)

7y = 28x + 70
4y = 28x - 20 (-)

3y = 30

y = 30
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Re: If y = 4x + 10 and y = 7x – 5, what is the value of y?  [#permalink]

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21 Dec 2018, 10:52
Bunuel wrote:
If $$y = 4x + 10$$ and $$y = 7x - 5$$, what is the value of y?

A. 20
B. 30
C. 40
D. 60
E. 90

$$4x + 10 = 7x - 5$$

Or, $$3x = 15$$

Or, $$x = 5$$

So, $$y = 4*5 + 10 => 30$$ Answer must be (B) $$30$$
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Re: If y = 4x + 10 and y = 7x – 5, what is the value of y?   [#permalink] 21 Dec 2018, 10:52
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