Identify a possible first step using the elimination method to solve the system and then find the solution to the system. 3x - 5y = -2 & 2x + y = 3
a) multiply first equation by -3 and second equation by 2, solution (1, 1).
b) multiply first equation by -2 and second equation by 3, solution (1, 1).
c) multiply first equation by -3 and second equation by 2, solution (1, -1).
d) multiply first equation by -2 and second equation by 3, solution (1, -1).

The correct possible option is B) Multiply first equation by -2 and second equation by 3, solution (1, 1).

Given, set of equations are .....(1)

And ....(2)

We have to solve these equations by elimination method, so we multiply equation 1 by -2 and equation 2 by 3, we get

......(3)

....(4)

On adding equation 3 and equation 4, we get

Now put the value of in equation 3 we get,

.

Hence we have to first multiply equation 1 by -2 and second equation by 3 so the solution of the system of equation is (1,1).

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see explanation

Step-by-step explanation:

Given the 2 equations

3x - 5y = - 2 → (1)

2x + y = 3 → (2)

Multiply (2) by 5 will eliminate y when added to (1), that is

10x + 5y = 15 → (3)

Add (1) and (3) term by term

(3x + 10x) + (- 5y + 5y) = (- 2 + 15)

13x = 13 ( divide both sides by 13 )

x = 1

Substitute x = 1 into (2) for corresponding value of y

2 + y = 3 ⇒ y = 3 - 2 = 1

Solution is (1, 1)

1. minimum

2. 6400

3. eight

hope this !

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .