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3 years ago

Solve the following system of equations.

Mathematics

2 answers:

sleet_krkn [62]3 years ago

7 0

Answer:

x = 6, y = -2

Step-by-step explanation:

x-2y = 10

y = -6x +34

Substitute the second equation into the first for y

x - 2(-6x+34) = 10

Distribute

x +12x - 68 = 10

Combine like terms

13x -68 = 10

Add 68 to each side

13x - 68+68 = 10+68

13x = 78

Divide each side by 13

13x/13 = 78/13

x = 6

Now find y

y = -6x+34

y = -6(6)+34

y = -36+34

=-2

Serggg [28]3 years ago

7 0

Answer:

x = 6 y = -2

Step-by-step explanation:

x-2y = 10

x = 10 + 2y

y = -6x +34

y = -6(10 + 2y) + 34

y = -60 - 12y + 34

13y = -26

y = -2

x = 10 + 2(-2)

x = 10 - 4

x = 6

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What is the solution to the system of equations below?

Anon25 [30]

Answer:

The correct one is A

Step-by-step explanation:

2x-y=10

y=1/2 × x+5

Now you substitute the value of y into the first equation.

2x - (1/2 × x+5) = 10

Solving this equation for x you get that x=6

Now substitute the value of x any of these two equations, doesn't matter. Let's say we do with the first one.

2×6-y=10

12-y=10

-y=10-12

-y= -2

y=2

And so you've got the first one which is, (x,y)=(6,2)

4 0

3 years ago

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A trap for insects is in the shape of triangular prism. The area of the base is 3.5 inches and the height of the prism is 5 inch

Alecsey [184]

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3 years ago

Graph the following equation using X- and y-intercepts.<br> x + y = -3

Kitty [74]

Answer:

x-intercept: (-3,0)

y-intercept: (0,-3)

Step-by-step explanation:

Looking at the equation, we can see that it is already in standard form, or in a $Ax+By=C$ format. Whenever a line is put into standard form, the x-intercepts are represented by $(\frac{C}{A},0)$ and the y-intercepts are represented by $(0, \frac{C}{B} )$ . So, let's calculate them by doing the following:

1) Find the x-intercept by using the $(\frac{C}{A},0)$ formula. Substitute the number on the right side of the equation for $C$ and the coefficient for the x term for $A$ . So, in this case, $C = -3$ and $A = 1$ :

$(\frac{C}{A},0)\\\\(\frac{-3}{1},0) \\(-3,0)$

Therefore, the x-intercept is (-3,0).

2) Next, find the y-intercept by using the $(0,\frac{C}{B} )$ formula and substituting the right values. $C$ is still the number on the right side of the equation and $B$ is the coefficient of the y term. So, $C = -3$ and $B = 1$ .