They give you an "x =" statement so you plug in the right side of the equals sign into the first equation wherever x appears. So...
y = 10 - 2(y - 4)
y = 10 - 2y + 8
y = 18 - 2y
y + 2y = 18
3y = 18
y = 6
Now we plug in this result for the y-value into the "x =" statement.
x = 6 - 4
x = 2
Your answer is (2, 6)

Both the given lines in graph intersect at point (5 , -2), the point must satisfy both the equations.
and if we check the options, we will observe that D. option has both the equations that satisfy the given conditions.
that is ~

put y = - 2,we will get :


so, 1st equation satifys the condition. let's check out 2nd one.

put y = -2



Hence, we can conclude that the Correct choice is D
In point slope form, the equation is y-7=(-10/3)(x+9). In slope-intercept form, it is y=(-10/3)x-23.
First find the slope of the line. The formula for slope is
m=(y₂-y₁)/(x₂-x₁)
Using our points, we have
m=(-3-7)/(-6--9) = -10/3
Plug this into point slope form:
y-y₁=m(x-x₁)
y-7=(-10/3)(x--9)
y-7=(-10/3)(x+9)
Using the distributive property:
y-7=(-10/3)*x+(-10/3)*9
y-7=(-10/3)x-90/3
y-7=(-10/3)x-30
Add 7 to both sides:
y=(-10/3)x-23
Answer:
1) x = 6.6.
2) x = 6.1.
Step-by-step explanation:
1) In this triangle, the hypotenuse is given, which is 8 units, and the angle is given, which is 35 degrees. The base is unknown. To find the base, following ratio will be used:
cos θ = Base/Hypotenuse.
cos 35 = x/8.
x = 8*cos 35.
x = 6.6 units (to the nearest tenth)!!!
2) In this triangle, the base is given by 12, and the angle is given by 27 degrees. The perpendicular is unknown. To find the perpendicular in this case, tangent formula will be used:
tan θ = Perpendicular/Base
tan 27 = x/12.
x = 12*tan 27.
x = 6.1 units (to the nearest tenth)!!!
Answer:
1. x=-9-7y
2. x = 120
Step-by-step explanation: