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3 years ago

Which of the graphs below represents the equation 4x + y = 7? Graph A Graph B Graph C Graph D

Mathematics

1 answer:

Andrei [34K]3 years ago

8 0

For this case we have the following equation:
$4x + y = 7
$
Rewriting the equation in its standard form we have:
$y = - 4x + 7
$
We observe that we have a linear function.
Where,
Negative slope and equal to 4.
Intersection with the axis and equal to 7.
Answer:
To observe the correct graph, please:
See attached image

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Option C is correct (y + z = 6) ⋅ −3

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As per the statement -

A student is trying to solve the system of two equations given below:

Equation P: y + z = 6 ....[1]

Equation Q: 3y + 4z = 1 ....[2]

Multiply the equation [1] by -3 to both sides we have;

-3 .( y + z = 6 ) ⇒ -3y -3z = -18..........(3)

Add equation [2] and [3] to eliminate the y-term;

z = -17

Therefore, the possible step used in eliminating the y-term is, (y + z = 6) ⋅ −3

Learn more about linear equation

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The complete question is -

A student is trying to solve the system of two equations given below: Equation P: y + z = 6 Equation Q: 3y + 4z = 1 Which of these is a possible step used in eliminating the y-term?

(y + z = 6) ⋅ 4

(3y + 4z = 1) ⋅ 4

(y + z = 6) ⋅ −3

(3y + 4z = 1) ⋅ 3

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