Answer:
The answer is no
*View the attached graph to check your answer graphically.*
Explanation:
y = 4x + 9
y = 2x + 5
For this problem, I will be using substitution, since the both equations are already in the slope-intercept form, and it's a little easier than the elimination method.
First, I will substitute the first equation, for y, into the second equation:
y = 4x + 9
y = 2x + 5
4x + 9 = 2x + 5
Next, subtract 2x from both sides to isolate x:
4x + 9 = 2x + 5
-2x -2x
2x + 9 = 5
Then, subtract 9 from both sides:
2x + 9 = 5
- 9 - 9
2x = -4
Now, divide both sides by 2:
2x = -4
/2 /2
x = -2
Now, we find the value of y, by substituting -2 for x:
y = 2x + 5
y = 2(-2) + 5
y = -4 + 5
y = 1
(x, y) ==> (-2, 1)
Check your answer using (-2, 1):
y = 2x + 5
1 = 2(-2) + 5
1 = -4 + 5
1 = 1
This statment is correct
y = 4x + 9
1 = 4(-2) + 9
1 = -8 + 9
1 = 1
This statment is also correct
Check your answer using (-6, -7):
y = 2x + 5
-7 = 2(-6) + 5
-7 = -12 + 5
-7 = -7
This statment is correct
y = 4x + 9
-7 = 4(-6) + 9
-7 = -24 + 9
-7 = -15
This statment is NOT correct
Therefore, no (-6,-7) is NOT a solution to this system of equations.
*View the attached graph to check your answer graphically.*
Hope this helps!