Answer:
y = -3
x = 
Step-by-step explanation:
4(y +
) - 2y = 8 Distribute the 4. Multiply everything in the parentheses by 4
4y + 14 - 2y = 8 4
=
= 14 Combine the like terms 4y and -2y
2y + 14 = 8 Subtract 14 from both sides
2y = -6 Divide both sides by 2
y = -3
Plug -3 in for y in either original equation.
4x - 2y = 8
4x -2(-3) = 8
4x + 6 = 8 Subtract 6 from both sides
4x = 2 Divide both sides by 4
x =
= 
Check:
x = y + 
= -3+ 
=
+ 
= 
4x - 2y = 8
4(
) - 2(-3) = 8
2 + 6 = 8
8 = 8
Answer:
x = 7 , y = 7
Step-by-step explanation:
A 45- 45- 90 triangle is an isosceles right triangle with the 2 legs being congruent , that is
x = 7
Using Pythagoras' identity in the right triangle, then
y² = 7² + 7² = 49 + 49 = 98 ( take square root of both sides )
y =
=
=
×
= 7