Question

Solve the system of equations. 1) X + y = 5 2x - y = 7 2) 3x+y=7 -7-5y=25

Answer 1

Answer:

1) x = 6, y = - 1

2) x = 4.4667, y = -6.4

Step-by-step explanation:

1)

x + y = 5

2x - y = 7

First, let's solve for x using the first equation.

x + y = 5

x = -y + 5

Next, let's substitute the x value into the second equation.

2x - y = 7

2(-y + 5) - y = 7

-2y + 10 - y = 7

-2y - y + 10 = 7

-3y = -3

y = -1

Now, let's substitute y into the first equation.

x + y = 5

x + (-1) = 5

x = 6

Therefore, x = 6, y = -1

2) 3x + y = 7

-7 - 5y = 25

First, let's solve for y in the second equation.

-7 - 5y = 25

-5y = 32

y = -6.4 or y = -6 $\frac{2}{5}$ or y = -$\frac{32}{5}$

Next, let's substitute the y value into the second equation.

3x + y = 7

3x +(-6.4) = 7

3x = 13.4

x = 4.4667 (answer is rounded) or x = 4$\frac{14}{30}$ or x = $\frac{134}{30}$

Therefore, x = 4.4667, y = -6.4

Hope this helped <3

Answer 2

Answer:

1) X +  y  =  5 ,  2 x  −  y =  7

2) x  =  67 /15, y = -32/5

Step-by-step explanation:

1. Solve for y in the first equation
2. Replace all occurencies of y with -32/5 in each equation
3. Then solve for the first equation

The solution to the system is the complete set of ordered pairs that are valid solutions, and the result can be shown in multiple forms.