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Paha777 [63]
3 years ago
11

Solve the system of equations. \begin{aligned} & -5x+13y = -7 \\\\ & 5x+4y=24 \end{aligned} ​ −5x+13y=−7 5x+4y=24 ​ x=x=

x, equals y=y=y, equals
Mathematics
1 answer:
Illusion [34]3 years ago
8 0

Answer:

The correct answer is the value of x is 4 and y is 1 respectively.

Step-by-step explanation:

The system of equations are −5x + 13y = −7 and 5x + 4y = 24.

To solve for x and y.

For solving we add both sides of the given system of equations.

∴ −5x + 13y + 5x + 4y = 24 - 7

⇒ 17y = 17

⇒ y = 1

⇒ x = 4

Thus the values of x and y are 4 and 1 respectively.

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X - y= -4 -2x +3y =6
STatiana [176]

Answer:

<em><u>x=-6, y=-2</u></em>, (As a point) (-6, -2).....The point form is not necessary unless you want to solve the system (of equations) by graphing.

Step-by-step explanation:

By substitution:

x-y=-4    By adding y on both sides,

x=y-4

Now you can substitute x for the expression (y-4)

Plug the (y-4) as x in the other equation.

So -2x+3y=6 becomes

-2(y-4)+3y=6

Now solve:

-2(y-4)+3y=6 distributes out to be

-2y+8+3y=6     Now combining like terms

y+8=6              Subtract 8 on both sides to isolate the variable

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Now plug the value -2 in where the y is in any equation (preferably the easier/less complicated one) and solve for x.

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x-(-2)=-4

=x+2=-4

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