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alisha [4.7K]
2 years ago
9

Find the value of y when x equals 4. -3x + 9y = -57

Mathematics
2 answers:
ANTONII [103]2 years ago
4 0

Answer:

y = -5

Step-by-step explanation:

Isolate y:

-3x + 9y = -57

9y = -57 + 3x

y = (-57/9) + (3/9)x

Substitute for x:

y = (-57/9) + (3/9)(4)

y = (-57/9) + (12/9)

y = (-45/9)

y = -5

GalinKa [24]2 years ago
4 0

Answer:

\mathsf {y = -5}

Step-by-step explanation:

\textsf {Given :}\\\textsf {-3x + 9y = -57}

\textsf {Divide throughout by 3 :}

\mathsf {\frac{1}{3} \times (-3x + 9y) = \frac{1}{3} \times -57}

\mathsf {-x + 3y = -19}

\textsf {Substitute x = 4 :}

\mathsf {-(4) + 3y = -19}

\mathsf {3y = -15}

\textsf {Divide by 3 on both sides :}

\mathsf {\frac{3y}{3} = \frac{-15}{3} }

\mathsf {y = -5}

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Step-by-step explanation:

Find the unit rate (mpg):

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8 0
3 years ago
What is a correct first step in solving the inequality –4(3 – 5x)≥ –6x + 9?
Sholpan [36]

Answer:

the first step is to distribute the -4 to (3-5x)

Step-by-step explanation:

3 0
3 years ago
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Find the length of the segment that joins the points (-5, 4) and (6,-3).
Helen [10]

Answer:

\boxed {\boxed {\sf d=\sqrt{170} \ or \  d\approx 13.04}}}

Step-by-step explanation:

We are asked to find the length of a segment or the <em>distance</em> between the 2 points. The formula for distance is:

d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2

where (x₁ y₁) and (x₂, y₂) are the points. We are given the points ( -5, 4) and (6, -3). If we match the number and the corresponding variable, it is:

  • x₁= -5
  • y₁= 4
  • x₂= 6
  • y₂ = -3

Substitute the values into the formula.

d= \sqrt{(6--5)^2+(-3-4)^2

Solve inside the parentheses.

  • 6--5 (Back to back negative signs become a positive)= 6+5 =11
  • -3-4= -7

d= \sqrt{(11)^2+(-7)^2

Solve the exponents.

  • (11)²= 11*11= 121
  • (-7)²= -7*-7= 49

d= \sqrt {(121)+(49)

Add.

d= \sqrt {170}

d=13.0384048104

Even though it's not specified, we could round to the nearest hundredth to make the answer more concise. The 8 in the thousandth place tells us to round the 3 to a 4 in the hundredth place.

  • 13.03<u>8</u>4048104

d\approx 13.04

The length of the segment is <u>√170</u> or approximately <u>13.04. </u>

7 0
3 years ago
Daniel picked out a book to give his dad for his birthday. Daniel only has 63cents from his piggy bank. His mom said she would p
Sauron [17]

Answer:

$13.44

Step-by-step explanation:

Daniel's money + Mom's money = $12.81 + $0.63

That is $13.44.

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5 0
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