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Tanya [424]
3 years ago
6

1" title=" \frac{x}{4} - \frac{3}{8}y = 3 \\ " alt=" \frac{x}{4} - \frac{3}{8}y = 3 \\ " align="absmiddle" class="latex-formula">
\frac{5}{3}x -  \frac{y}{2} = 12
How to solve the following simultaneous pair of equation by substitution both. ​
Mathematics
1 answer:
MariettaO [177]3 years ago
3 0

Answer:

(6, - 4 )

Step-by-step explanation:

Given the 2 equations

\frac{x}{4} - \frac{3}{8} y = 3 → (1)

\frac{5}{3} x - \frac{y}{2} = 12 → (2)

Multiply (1) by 8 and (2) by 6 to clear the fractions

2x - 3y = 24 → (3)

10x - 3y = 72 → (4)

Rearrange (3) expressing - 3y in terms of x by subtracting 2x from both sides

- 3y = 24 - 2x

Substitute 3y = 24 - 2x into (4)

10x + 24 - 2x = 72, that is

8x + 24 = 72 ( subtract 24 from both sides )

8x = 48 ( divide both sides by 8 )

x = 6

Substitute x = 6 in either (3) or (4) and solve for y

Substituting in (3)

2(6) - 3y = 24

12 - 3y = 24 ( subtract 12 from both sides )

- 3y = 12 ( divide both sides by - 3 )

y = - 4

Solution is (6, - 4 )

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Juanita says that 3.5[4d - (2) (1.5)] and 2[7d - (5)(1.05)] are equivalent. Is Juanita correct? Explain your reasoning.
valkas [14]

Answer:

Yes

Step-by-step explanation:

3.5 [4d - 2*1.5] = 3.5*4d - 3.5*2*1.5

                        = 14d - 10.5

2*[7d - 5*1.05] = 2*7d - 2*5*1.05

                       = 14d -  10.5

When we are simplifying both the expression using distributive property, we get the same expression at the end.

8 0
3 years ago
Can someone help me I have two more other questions they are 15 points each I just posted them right now! Thanks so much
nlexa [21]

Answer:

$10 coins: 21

$20 coins: 24

Step-by-step explanation:

heyy me again

So we can create 2 equations where

x = number of $10 coins

y = number of $20 coins:

x + y = 45

10x + 20y = 690

we can move equation 1 around so that we can get a value of x

x = 45 - y

now we can substitute x into the second equation

10(45 - y) + 20y = 690

450 - 10y + 20y = 690

10y = 240

y = 24

Now plug in y back into the first equation

x = 45 - y

x = 45 - 24

x = 21

8 0
3 years ago
Solve the inequality. x + 7 > 11 A. x> 18 B. x> −4 C. x > 4 D. x> −18
mixas84 [53]

Answer:

c. x>4

Step-by-step explanation:

subtract 7 from both sides. 11-7=4

x>4

8 0
3 years ago
Read 2 more answers
How does graphing -3/4 different from graphing 3/4
katovenus [111]
Graph 1: y= -3/4, which means its (x,y) coordinate is (0, -3/4).

Graph 2: y= 3/4, which means its (x,y) coordinate is (0, 3/4).

Graph 1 would be the point -3/4 on the y-axis, while graph 2 would be the point 3/4 on the y-axis.

Therefore, graph 1 and graph 2 are symmetrical about the x-axis.

Hope this would help~
3 0
3 years ago
Write an equation for the line that goes through (-2,6) and is parallel to the line y=1/2x+9
katrin [286]

Answer:

y = 1/2x + 7

Step-by-step explanation:

Parallel lines have the same slope.

Therefore the new equation will have a slope(m) = 1/2

Substitute m = 1/2 and point (-2, 6) into y = mx + b to solve for "b"

y = mx + b

6 = 1/2(-2) + b

6 = -1 + b

7 = b

The new equation: y = mx + b

                                y = 1/2x + 7

7 0
3 years ago
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