Answer:
Solution of the equations is (1, -2).
Step-by-step explanation:
Two linear equations given in the question are
y = -3x+1-------------(1)
and y = 2x-4 ------------(2)
To solve these equations by substitution method we will substitute the value of y from equation (1) to equation number (2).
-3x+1 = 2x-4
Now we add 3x on both the sides of the equation
3x-3x+1 = 3x+2x-4
1 = 5x-4
we will add 4 on both the sides
1+4 = 5x-4+4
5 = 5x
Then we divide the equation by 5
5/5 = 5x/5
x = 5/5 = 1
Now we solve the equation (1) for the value of y by putting x = 1
y = -3(1)+1 = -3+1 = (-2)
So the solution will be (1 -2).
Let any variable such as x represent the least amount of money that Malcolm needs to deposit. His balance from his checking account is $638.54. Subtract $159.50 from this amount.
With the condition that he must maintain $500, the inequality becomes,
(638.54 - 159.50) + x <span>≥ 500
479.04 + x </span><span>≥ 500
x </span><span>≥ 20.96</span>
50% because there are 4 routes and 2 take 30 minutes, 2/4 = 50/100 = 50%
2 ≤ 2w +4 ≤ 12
Subtract 4 from all 3 terms:
-2 ≤ 2w ≤ 8
Divide all 3 terms by 2:
-1 ≤ w ≤4
