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dem82 [27]
3 years ago
15

A) 2x + y - 12 = 0 x + y + 3 = 0

Mathematics
1 answer:
AVprozaik [17]3 years ago
6 0

Answer:

x=15   and   y= -18

Step-by-step explanation:

2x + y - 12 = 0            Equation 1

x + y + 3 = 0                Equation 2

From two given equations, we can find the value of both x and y by finding the value of one variable from any one of the two equations in terms of other variable and putting it to other equation.

Solving equation 1

Finding 'y' in terms of 'x'           2x+y=12\\y=12-2x                 Equation 3

Putting above equation in equation 3 in 2

                                       x + y + 3 = 0

                                      x+12-2x+3=0

                                         x=15

Putting value of 'x' in equation 3 to find the value of 'y'

                                      y=12-2(15)\\y=12-30\\y= -18

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Question:

Yuet solved the equation 6a - 2b = 12 for a.

Her steps are shown below.

1. Subtract 2b: 6a = 12 - 2b

2. Divide by 6: a = 2 - \frac{b}{3}

Answer:

In step 1 she needed to add 2b to both sides of the equation.

Step-by-step explanation:

Given:

The above steps shows how Yuet solved an equation

Required:

True statement about Yuet's work

The implication of the statement is to state what Yuet should have done instead of what she did.

In step 1, she subtracted 2b from both sides of the equation; this is wrong.

Instead of subtracting, she ought to add 2b to both sides of the equation.

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2. Divide by 6: a = 2 + \frac{b}{3}

Hence, we can conclude that in step 1 she needed to add 2b to both sides of the equation.

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