Mathematics, 11.01.2020 07:31 nanda22

How do u solve this symultanious equation

5x-2y=8
3x+3y=9

Answers: 3

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Answers

Answer from: allyfurby

STEPS USING SUBSTITUTION

5x−2y=17

2x−3y=9

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

5x−2y=17,2x−3y=9

Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.

5x−2y=17

Add 2y to both sides of the equation.

5x=2y+17

Divide both sides by 5.

(2y+17)

Multiply

times 2y+17.

Substitute

2y+17

for x in the other equation, 2x−3y=9.

)−3y=9

Multiply 2 times

2y+17

−3y=9

Add

to −3y.

−

Subtract

from both sides of the equation.

−

Divide both sides of the equation by −

, which is the same as multiplying both sides by the reciprocal of the fraction.

y=−1

Substitute −1 for y in x=

. Because the resulting equation contains only one variable, you can solve for x directly.

(−1)+

Multiply

times −1.

−2+17

Add

5 /17

to −

5 /2

by finding a common denominator and adding the numerators. Then reduce the fraction to lowest terms if possible.

x=3

The system is now solved.

x=3,y=−1

Answer from: Quest

answer: the price of one pound cabbage = $ 0.8

the point (10,8) represents that the cost of 10 pounds cabbage is $ 8

step-by-step explanation:

since, here is a proportional relation between the number of pounds of cabbage (x) and the price in dollars (y).

therefore, we can write,

$y\propto x$

⇒ y = k x

where k is the constant of proportionality.

now, point (5,4) is in the line.

thus, it will satisfies the above equation of line.

⇒ 4 = 5 k

⇒ k = 0.8

thus, the equation of the line is,

y = 0.8 x

a) for x = 1,

y = 0.8

therefore, the cost of one pound of cabbage is 0.8 dollars.

b) in the below graph (10,8) represents that the cost of 10 pounds of cabbage is 8 dollars.

Answer from: Quest

215.92 dollars is the answer

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How do u solve this symultanious equation

5x-2y=8
3x+3y=9...

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