Answer:
x = 4, y = -3
Step-by-step explanation:
{2x - y = 11
{x + 3y = -5
You can use the substitution method by solving for x in the second equation:
x + 3y = -5
Subtract 3y from both sides:
x = -3y - 5
Now, substitute this value for x into the first equation:
2x - y = 11
2(-3y - 5) - y = 11
Distribute:
-6y - 10 - y = 11
Add 10 to both sides:
-6y - y = 21
Combine like terms:
-7y = 21
Divide both sides by -7:
<u>y = -3</u>
Next, substitute this value for x into the second equation:
x + 3y = -5
x + 3(-3) = -5
Multiply:
x - 9 = -5
Add 9 to both sides:
<u>x = 4</u>
3x<-9
3x/3<-9/3
x<-3 or (-∞,-3).
Answer: (-∞,-3).
Answer:
Slope intercept form is y=2x+b
Step-by-step explanation:
Let's solve this by substitution.
y is given by the 2nd eqn as y = (1/3)x + 7. Subst. (1/3)x + 7 into the first eqn as a replacement for y: x + 9( (1/3)x + 7) = 3.
clear out fractions by mult. all 3 terms by 3: 3x + 9x + 63 = 3
Combine like terms: 12x = -60. Then x = -5
Find y by subst. -5 for x in the 2nd equation: y = (1/3)(-5) + 7
= -5/3 + 35/3 = 30/3 = 10.
Thus, the solution (x,y) of this system is (-5,10).
Answer:
C.
Step-by-step explanation:
For Function 2
x=1 y=8
x=2 y=11
8=m+b
11=2m+b
11-8=2m-m
m=3
8=3+b
b=5
y=3x+5
Function 1
y=4x+5
Function 2
y=3x+5
....................
Function 1 has the same y-intercept and greater slope than Function 2.
