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slega [8]
3 years ago
6

2x + 5y = -3 2x + 2y = 6

Mathematics
2 answers:
oee [108]3 years ago
8 0

Answer:

(6, - 3 )

Step-by-step explanation:

Given the 2 equations

2x + 5y = - 3 → (1)

2x + 2y = 6 → (2)

Subtracting (1) from (2) term by term will eliminate the x- term

(2x - 2x) + (2y - 5y) = 6 - (- 3), that is

- 3y = 9 ( divide both sides by - 3 )

y = - 3

Substitute y = - 3 in either of the 2 equations and solve for x

Substituting y = - 3 in (1)

2x + 5(- 3) = - 3

2x - 15 = - 3 ( add 15 to both sides )

2x = 12 ( divide both sides by 2 )

x = 6

Solution is (6, - 3 )

Iteru [2.4K]3 years ago
4 0

Answer: x = 6 and y = -3

Step-by-step explanation: What we have in this question is a pair of simultaneous equations,

2x + 5y = -3 ———(1)

2x + 2y = 6 ———(2)

We shall use the elimination method to solve this since none of the variables has a coefficient of 1. We multiply equation (1) by 2 and multiply equation (2) by 5 {to eliminate the y variable). So we now have,

2x + 5y = -3 ——— x2

2x + 2y = 6 ——— x5

4x + 10y = -6 ———(3)

10x + 10y = 30 ——(4)

Subtract equation (3) from equation (4)

10x - 4x +(10y - 10y) = 30 - (-6)

6x = 30 + 6

6x = 36

Divide both sides of the equation by 6

x = 6

Having calculated that x = 6, substitute for the value of x into equation (1)

2x + 5y = -3

2(6) + 5y = -3

12 + 5y = -3

Subtract 12 from both sides of the equation

5y = -3 - 12

5y = -15

Divide both sides of the equation by 5

y = -3

Therefore x equals 6 and y equals -3

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Given that rectangle MNOP~ rectangle STUV~, what is the length of ___<br> TU
IrinaK [193]

A parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. The value of x or the length of TU is 22.5.

<h3>What is a rectangle?</h3>

That parallelogram in which adjacent sides are perpendicular to each other is called a rectangle. A rectangle is always a parallelogram and a quadrilateral but the reverse statement may or may not be true.

Since all the rectangles are similar, therefore, the corresponding sides of the rectangle will be in ratio. Therefore,

\dfrac{\text{Length of STUV}}{\text{Length of MNOP}} = \dfrac{9}{6}

Similarly, the breadth will be,

\dfrac{\text{Width of STUV}}{\text{Width of MNOP}} = \dfrac{\text{Length of STUV}}{\text{Length of MNOP}}\\\\\\\dfrac{\text{Width of STUV}}{\text{Width of MNOP}} = \dfrac{9}{6}\\\\\\\dfrac{x}{15}=\dfrac96\\\\\\x = \dfrac{9 \times 15}{6} = 22.5

Hence, the value of x or the length of TU is 22.5.

Learn more about Rectangle:

brainly.com/question/15019502

#SPJ1

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