Answer:
The point of intersection is (3,1)
Step-by-step explanation:
Manipulate these equations to achieve the form of y = mx + c
1) y + 5 = 2x
Y = 2x - 5
2) y = 7 - 2x
Y = -2x + 7
Point of intersection is (3,1) on the graph attached
To check algebraically:
2x - 5 = -2x + 7
4x = 12
X = 3
Substitute to get y
Y = 2x - 5
Y = 2 x 3 - 5
Y = 1
Therefore (3,1)
Let's call the number we're looking for . We know that
is twice as much as
.
Twice as much as a number simply means the double of that number, and in turn the double of a number means to muliply that number by 2.
So, in order to obtain , you have to multply
by 2. In formula, you have
or simply
The work is shown in the attached images. Each equation is labeled for slope intercept and standard form
y=-1/5x +18/5
5y+x=18
