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7nadin3 [17]
3 years ago
8

Show the processes for solving 2x+3y=5 and 4x - y=17 using elimination and substitution

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
7 0

<u>ANSWER:  </u>

The solution of the two equations 2x+3y=5 and 4x - y=17 is (4, -1).

<u>SOLUTION: </u>

Given, two linear equations are 2x + 3y = 5 → (1) and 4x – y = 17 → (2).

Let us first solve the above equations using <em>elimination process. </em>

For elimination, one of the coefficients of variables has to be same in order to cancel them.

Now solve (1) and (2)

eqn (1) \times 2 → 4x + 6y = 10

eqn (2) → 4x – y = 17

(-) ----------------------------

     0x + 7y = -7

y = -1

Substitute y value in (2)

4 x-(-1)=17 \rightarrow 4 x+1=17 \rightarrow 4 x=17-1 \rightarrow 4 x=16 \rightarrow x=4

So, solution of two equations is (4, -1).

<u><em>Now let us solve using substitution process.</em></u>

Then, (2) → 4x – y = 17 → 4x = 17 + y → y = 4x – 17

Now substitute y value in (1) → 2x + 3(4x – 17) = 5 → 2x + 12x – 51 = 5 → 14x = 5 + 51 → 14x = 56  

x = 4

Substitute x value in (2) → y = 4(4) – 17 → y = 16 – 17 → y = -1

Hence, the solution of the two equations is (4, -1).

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3 years ago
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vlada-n [284]
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Violin strings are parallel. Viewed from above, a violin bow in two different positions forms two transversals to the violin str
svlad2 [7]

ANSWER



x=10


and


y=20




EXPLANATION



Since corresponding angles are equal,


4x+y=60---(1)




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\Rightarrow 4x=40




\Rightarrow x=10




We put x=10 in to equation (1)





4(10)+y=60



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y=20






4 0
3 years ago
Help mee!! I will give a branlist answer!!
Nutka1998 [239]
Ok so here u go
<span>Simplifying 6(2x + -11) + 15 = 21        Reorder the terms: 6(-11 + 2x) + 15 = 21 (-11 * 6 + 2x * 6) + 15 = 21 (-66 + 12x) + 15 = 21         Reorder the terms: -66 + 15 + 12x = 21       Combine like terms: -66 + 15 = -51 -51 + 12x = 21     Solving -51 + 12x = 21 Solving for variable 'x'.          Move all terms containing x to the left, all other terms to the right. Add '51' to each side of the equation. -51 + 51 + 12x = 21 + 51 Combine like terms: -51 + 51 = 0 0 + 12x = 21 + 51 12x = 21 + 51       Combine like terms: 21 + 51 = 72 12x = 72 Divide each side by '12'. x = 6 Simplifying x = 6</span>
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3 years ago
Brooke is making a c cylindrical bolster pillow for her couch. The pillow is 18 inches long and has a radius of 5 inches. Determ
gtnhenbr [62]

Answer:

Step-by-step explanation:

The pillow is cylindrical. To determine the amount of fabric needed for the pillow, we would apply the formula for determining the total surface area of a cylinder which is expressed as

Total surface area = 2πr² + 2πrh

Where

r represents the radius of the cylinder.

h represents the height of the cylinder.

π is a constant whose value is 3.14

From the information given,

radius = 5 inches

Height = 18 inches

Therefore,

Area = (2 × 3.14 × 5²) + 2 × 3.14 × 5 × 18

Area = 157 + 565.2 = 722.2

Amount of fabric needed is

722.2 square inches

7 0
3 years ago
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