Answer:
The equation is standard form is 2x + y = 11.
The equation is standard form is 2x - 3y = 18
Step-by-step explanation:
Standard form: Ax + By = C
You need to solve the equation so that it is in that form.
y - 5 = -2(x - 3)
y - 5 = -2(x) - 2(- 3) Distributive property
y - 5 = -2x + 6 Simply . remember -2(-3) = 6
<u>y - 5 + 2x = 2x + 6 </u> Adding 2x to both sides of the equation
2x + y - 5 = 6 Now the x-term and the y-term are on one side
<u>2x + y - 5 + 5 = +5 </u> Adding +5 to both sides of the equation
2x + y = 11
Now the equation is standard form is 2x + y = 11
2. y + 4 = 2/3 (x - 3)
y + 4 = 2/3(x) + 2/3(- 3) Distributive property
y + 4 = 2/3x - 2 Simply : 2/3(-3) = -6/3 = -2
<u> y + 4 - 2/3x = -2/3x </u> Adding -2/3x to both sides
y + 4 -2/3x = -2
<u> -4 = -4 </u> Adding -4 to both sides
y - 2/3x = - 6
-y + 2/3x = 6 x- term is positive so multiply by -1 will
2/3x - y = 6 change the sign in the equation
3(2/3x) -3(y) = 3(6) You do not want a fraction in the x-term so
multiply by 3. Each term by 3.
2x - 3y = 18 3(2/3) = 6/3 = 2
