Six less than means -6 the product of 3 and a number (3 times b) is four=4
-6+3 times b=4
pemdas
multiplication first
3 times b=3b
3b-6=4
add 6 to both sides
3x=10
divide both sides by 3
x=10/3
Answer:
-4x - 3 = -8
Step-by-step explanation:
On our left, we have -x in 4 places = 4(-x) = -4x
And on the left, we also have -1 in 3 places = 3(-1) = -3
Altogether in our left, we have: -4x +(-3)
That is: -4x - 3
On our right, we have -1 in 8 places, which is 8(-1) = -8
Therefore, the equation that represents the model would be:
-4x - 3 = -8
Step-by-step explanation:
Given that,
a + 2b = 17
Also,
2a + b = 4
By adding the above expressions we get,
a + 2b + 2a + b = 17 + 4
3a + 3b = 21.
3 (a + b) = 21
a + b = 21/3
a + b = 7 Let us take 'b' = 10
a + 10 = 7
a = 7 - 10
a = -3
Now let's check by verifying by putting a = -3 and b = 10 in the previous expressions
a + 2b = 17
-3 + (2 × 10) = 17
-3 + 20 = 17
17 = 17
2a + b = 4
(2 × -3) + 10 = 4
-6 + 10 = 4
4 = 4
Therefore, a = -3 and b = 10 [(-3,10)] is the solution.
