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3 years ago

8x+ 7y =39 8x + 2y = 34 What is x and y

Mathematics

1 answer:

anygoal [31]3 years ago

7 0

Answer:

y= 1 and X=4

Step-by-step explanation:

8x +7y =39

8x +2y =34

elimination method(we multiply 8x+7y=39 or 8x + 2y= 34 by -1 to eliminate 8x)

lets multiply 8x+7y = 39 by - 1

-8x -7y = -39

8x +2y = 34

(8x-8x)+(2y-7y)= (-39+34)

0 + (-5y) = -5

-5y= -5......dividing both sides by -5

 y = 1

8x +2y =34....... substituting y by 1

8x +2(1)= 34

8x + 2= 34

8x = 34-2

8x = 32.....dividing both sides by 8

x = 4

Lets check;

8x +2y = 34

8(4) +2(1) = 34

32 + 2 =34

34 = 34

8x + 7y = 39

8(4) + 7(1) = 39

32 + 7 =39

39 = 39

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3 years ago

Write a linear equation for slope: 0; y-intercept: -8

Novosadov [1.4K]

Answer:

x = -8

Step-by-step explanation:

Since there is no slope, there is no need for a y variable to appear in your final equation. The graph will cross y = -8 horizontally. So therefore, x = -8

This is a pretty short explanation, but there's not too much to it. Hope this helped :)

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2 years ago

The line perpendicular to y= (-3/2)x -4 and goes through (1,4)

Paladinen [302]

Answer (assuming it is allowed to be in point-slope format):

$y-4 = \frac{2}{3}(x-1)$

Step-by-step explanation:

1) First, determine the slope. We know it has to be perpendicular to the given equation, $y = -\frac{3}{2} x-4$ . That equation is already in slope-intercept form, or y = mx + b format, in which m represents the slope. Since $-\frac{3}{2}$ is in place of the m in the equation, that must be the slope of the given line.

Slopes that are perpendicular are opposite reciprocals of each other (they have different signs, and the denominators and numerators switch places). Thus, the slope of the new line must be $\frac{2}{3}$ .

2) Now, use the point-slope formula, $y-y_1 = m (x-x_1)$ to write the new equation with the given information. Substitute $m$ , $x_1$ , and $y_1$ for real values.

The $m$ represents the slope, so substitute $\frac{2}{3}$ in its place. The $x_1$ and $y_1$ represent the x and y values of a point the line intersects. Since the point crosses (1,4), substitute 1 for $x_1$ and 4 for $y_1$ . This gives the following equation and answer:

$y-4 = \frac{2}{3}(x-1)$

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3 years ago

Rounded to the nearest inch , what is the appoxiomate circumference of a circle with a diameter of 40 inches (Use pi = 3.14

sweet-ann [11.9K]

С = πD
С = 3,14×40
С = 126 in ← to the nearest inch

3 0

3 years ago

−2x=x^2 minus 6, Rewrite the equation by completing the square. please answer

Paul [167]

Answer:

$(x+1)^{2} -5$