Answer:
6(x-8)=5-2x
Step-by-step explanation:
let the number be x
so we have six times the difference between a number and 8
that is 6(x-8).
is equal to 5 less than twice the number ..we have
=5-2x.
therefore, our answer becomes:
6(x-8)=5-2x
harvey can mesure 3 qrt in the 3 qrt container and 1 qrt in the 5qrt container
3. x+100 = 90 alternate interior angles are equal
subtract 100 from each side
x+100 - 100 = 90-100
x = -10
4. 17x+1 = 120 alternate exterior angles are equal
subtract 1 from each side
17x+ 1 -1 = 120 -1
17x = 119
divide each side by 17
17x/17 = 119
x =7
If the fraction is 7/8, the top number would be the numerator. So the numerator is 7.
Answer:
x=2 and y=0
Step-by-step explanation:
Rewrite equations:
y=−4x+8;y=
3
5
x+
−6
5
Step: Solvey=−4x+8for y:
y=−4x+8
Step: Substitute−4x+8foryiny=
3
5
x+
−6
5
:
y=
3
5
x+
−6
5
−4x+8=
3
5
x+
−6
5
−4x+8+
−3
5
x=
3
5
x+
−6
5
+
−3
5
x(Add (-3)/5x to both sides)
−23
5
x+8=
−6
5
−23
5
x+8+−8=
−6
5
+−8(Add -8 to both sides)
−23
5
x=
−46
5
−23
5
x
−23
5
=
−46
5
−23
5
(Divide both sides by (-23)/5)
x=2
Step: Substitute2forxiny=−4x+8:
y=−4x+8
y=(−4)(2)+8
y=0(Simplify both sides of the equation)