Answer:
x=4 y=1
Step-by-step explanation:
given equation
x+y=5
so x= 5-y.......(i)
and
x-2y=2
so x= 2+2y........(ii)
then
5-y=2+2y
therefore y=1
and x=4
Answer:B
Step-by-step explanation:
A. y = 2x-11
B. y = 2x-10
c. y = 2x-4
D. y=2x-2
Recall, the slope intercept equation
y= mx+c
Assuming c is held constant in each scenario
Looking at A
m = 2, c = -11
Equation of the line that passes through the point (3.-4)
-4 = 2×3 + c
c =-10
-10 does not correspond to -11 given
Let's try B
m= 2, c = -10
Equation of the line that passes through the point (3.-4)
-4 = 2×3 + c
c = -4-6 = -10
This intercept correspond with the intercept in B which is -10
Let's look at C
m= 2, c = -4
Equation of the line that passes through the point (3.-4)
-4 = 2×3 + c
c = -4-6 = -10
-10 does not correspond to -4 given
Let's try D
m= 2, c = -2
Equation of the line that passes through the point (3.-4)
-4 = 2×3 + c
c = -4-6 = -10
-10 does not correspond to -2 given
Answer:
Area decreases by 16%
Step-by-step explanation:
Use formula for the area of the triangle

<u>Initial triangle:</u>
The base is 18 cm
The height is 5 cm
The area is

<u>New triangle:</u>
The base is 
The height is 
The area is

Area decreases by

Answer:
The fourth option - t = 3, y = 5
Step-by-step explanation:
-8 + t becomes -5, thus t is 3 since -8 + 3 = -5.
-12 becomes -2y - 2, so we can set these equal to each other as -2y - 2 = -12 and solve from there. Add 2 to both sides, -2y = -10, then divide by -2 on both sides, y = 5.