3x + 4y = 38 ( equation 1) ----> ×5
5x - 5y = -30 ( equation 2) ----> ×3
When you multiply eqn 1 by 5 you get, 15x + 20y = 190
And when you multiply eqn 2 by 3, you get, 15x - 15y = -90
Then you solve both equations by subtracting eqn 2 from eqn 1
15x + 20y = 190
15x - 15y = 90
Then 15x - 15x gets cancelled and 20y - (-15y) gives 35y and 190 - (-90) gives 280.
So that gives 35y = 280
y = 8
And when you replace y = 8 in any of the two equations, x = 2
One solution because it only has one answer that can come out if those properties. If you add the -3 to -6 it will make it 6=12 -3x. Subtract the 12 it will be -6=-3x divide by -3 and x=2
Answer:
500 people took the survey.
Step-by-step explanation:
12 divided by 3 is 4 and 15 divided by 3 is 5. that means 4 of every 5 people prefer restaurants. Multiply that by 100 and you get 400 of every 500 people prefer restaurants. Hope this helps!
Answer:
3
Step-by-step explanation:
|a−b|−|c+d|
Let a=5; b=−5; c=−4; d=−3
substitute the values in
|5− -5|−|-4+-3|
|5+5|−|-4+-3|
|10|−| -7|
Taking the absolute values
10 - 7
3