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Julli [10]
3 years ago
13

8х + 7y= -5 X= -3y - 7

Mathematics
2 answers:
GrogVix [38]3 years ago
4 0

Answer:

x = 2

y = -3

Step-by-step explanation:

Step 1: Write systems of equation

8x + 7y = -5

x = -3y - 7

Step 2: Solve for <em>y</em>

  1. Substitute 2nd equation into 1st: 8(-3y - 7) + 7y = -5
  2. Distribute 8: -24y - 56 + 7y = -5
  3. Combine like terms: -17y - 56 = -5
  4. Add 56 to both sides: -17y = 51
  5. Divide both sides by -17: y = -3

Step 3: Solve for <em>x</em>

  1. Substitute <em>y</em> to find <em>x</em>: x = -3(-3) - 7
  2. Multiply: x = 9 - 7
  3. Subtract: x = 2

Step 4: Check

<em>Plug in x, y into an original equation to verify it's a solution.</em>

2 = -3(-3) - 7

2 = 9 - 7

2 = 2

Inessa05 [86]3 years ago
4 0

Answer:

x=2  y=-3

Step-by-step explanation:

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10x8=80 dollars that day
80+30=$110

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5 0
3 years ago
Sue wants to plan a meal with 71 grams of fat and 1755 calories. If hot dogs have 13 grams of fat and 145 calories each and if b
Lena [83]

Answer:

Sue must use 3 hotdogs and 4 half-cup serving of baked beans.

Step-by-step explanation:

Let the number of hot dogs be represented by h

Let the number of baked beans be represented by b

Hot dogs have 13 grams of fat and 145 calories each

Baked beans have 8 grams of fat and 330 calories per half cup serving

Sue wants to plan a meal with 71 grams of fat and 1755 calories.

Grams of Fat from Hotdog + grams of fat from baked beans=71

13h+8b=71....(I)

Similarly,

Calories from hot dog + Calories from baked beans=1755

145h+330b=1755....(II)

We then solve Equations (I) and (II) simultaneously.

13h+8b=71....(I)

145h+330b=1755....(II)

Multiply equation 1 by 145 and equation 2 by 13

1885h+1160b=10295

1885h+4290b=22815

Subtracting

-3130b=-12520

b=4

Substitute b=4 into (I)

13h+(8X4)=71

13h=71-32

13h=39

h=3

Sue must use 3 hotdogs and 4 half-cup serving of baked beans.

4 0
4 years ago
Is 4 r square the answer...pls I need to know thank you :)
zloy xaker [14]

Step-by-step explanation:

\pi {r}^{2}  \\

3 0
3 years ago
DESPERATE FOR EXPLANATION PLEASE HELP
Hitman42 [59]

This one is the Law of Sines again.


The Law of Sines relies on the standard labeling of triangle ABC with vertices A, B, and C and respective opposite sides of a, b and c. Then


\dfrac{a}{\sin A} = \dfrac{b}{\sin B} = \dfrac{c}{\sin C}


Here we have A=150 degrees (opposite side a), b= 10 cm and B = 12 degrees. We seek a.


So we need the first equation of the Law of Sines:


\dfrac{a}{\sin A} = \dfrac{b}{\sin B}


a = \dfrac{b \sin A }{\sin B}


a = \dfrac{10 \sin 150}{\sin 12} \approx 28.0


7 0
3 years ago
What is the slope-intercept form for 4,8 and 2,12<br>​
s344n2d4d5 [400]

Answer:

The slope-intercept form is y=-2x+16.

6 0
3 years ago
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