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artcher [175]
3 years ago
6

3x+y=8 I really don't understand this and I have tried to get the answer but always end up wrong.

Mathematics
1 answer:
Alecsey [184]3 years ago
7 0

Answer:

The solution of the system of the equation is (2, 2)

Step-by-step explanation:

Let us solve the system of equations

∵ 3x + y = 8 ⇒ (1)

∵ 3x - y = 4 ⇒ (2)

→ Add equations (1) and (2) to eliminate y

∴ (3x + 3x) + (y + -y) = (8 + 4)

∴ 6x + 0 = 12

∴ 6x = 12

→ Divide both sides by 6 to find x

∵ \frac{6x}{6}=\frac{12}{6}

∴ x = 2

→ Substitute the value of x in equation (1) to find y

∵ 3(2) + y = 8

∴ 6 + y = 8

→ Subtract 6 from both sides

∵ 6 - 6 + y = 8 - 6

∴ y = 2

∴ The solution of the system of the equation is (2, 2)

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3 years ago
Identify an equation in slope intercept form for the line parallel to y= -2/3x+8 that passes through (4, -5)
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Answer:

3y = -2x -7

Step-by-step explanation:

The equation of the line;

     y = -\frac{2}{3}x + 8

Unknown:

Equation of the line passing through (4, -5);

Solution:

To solve this problem;

    the equation of a line is given as;

        y = mx + c

where x and y are the coordinate

           m is the slope

          c is the intercept

To solve this problem,

  The slope  -\frac{2}{3} if the same as that of the new line since they are parallel;

Equation of the new line;

    x  = 4 and y = -5

     -5 =  -\frac{2}{3} x 4 + c

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7 0
3 years ago
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