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 [tex]\frac{2}{5}[/tex] or y = -[tex]\frac{32}{5}[/tex]
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[tex]\frac{14}{30}[/tex] or x = [tex]\frac{134}{30}[/tex]
Therefore, x = 4.4667, y = -6.4
Hope this helped <3
