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2 years ago

Solve the system by elimination. 8x+3y=4 2x+y=2

Mathematics

1 answer:

liberstina [14]2 years ago

7 0

Answer:

x = -1

y = 4

Step-by-step explanation:

Solving system of linear equations by elimination method.

8x + 3y = 4 ---------------(I)

2x + y = 2 --------------(II)

Multiply the second equation by (-3) and then add them.Thus y will be eliminated and we will obtain the value of 'x'.

(I) 8x + 3y = 4

(II)*(-3) -6x - 3y = -6 {Now add}

2x = -2

x = -2/2

$\sf \boxed{\bf x = -1}$

Plugin x = (-1) in any one of the equations. Here I have chosen equation (II)

2*(-1) + y = 2

-2 + y = 2

y = 2 + 2

$\sf \boxed{\bf y = 4}$

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7 0

4 years ago

Solve the solution using the substitution method 3x +5y = 29 y= -4x -1

Artist 52 [7]

3x + 5y = 29 first equation
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substitute the second equation to the first equation;
3x + 5(-4x - 1) = 29
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solve for x;
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substitute x = -2 into the second equation to find y;
y = -4x - 1
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so;
x = -2, y = 7

hope this helps, God bless!

3 0

3 years ago

Pepsi [2]

Answer: Option 4

Step-by-step explanation:

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Thus, the side lengths of the triangle we want to find should be multiples of $1, \sqrt{15}, 4$ .

This eliminates options (1) and (3).

Between options 2 and 4, we know that the Pythagorean theorem is not satisfied by option (2), thus we should eliminate it.

This leaves us with option (4)

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3 years ago

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