The system of equations has infinitely many solutions
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
-3x + 3y = 12 ------- eqn 1
y = x + 4 --------- eqn 2
We have to find the solution to the system of equations
We can use substitution method
Substitute eqn 2 in eqn 1
-3x + 3(x + 4) = 12
-3x + 3x + 12 = 12
-3x + 12 = -3x + 12
If we have terms with same terms on both sides of equal sign, then we have infinitely many solutions
Thus the system of equations has infinitely many solutions
9514 1404 393
Answer:
D. 3 to 4
Step-by-step explanation:
The ratio ...
blueberries : strawberries = (1/2) : (2/3)
can be changed to a ratio of integer by multiplying by the least common denominator: 6.
= 6(1/2) : 6(2/3) = 3 : 4
Solving the inequality, it is found that the correct interpretation of the solution is:
Reina's family can drive 83 more miles before they need to refill the gas tank.
The amount x of miles they can still travel is modeled by the following inequality:

To solve it, we treat it similarly to an equality, hence:


Hence:
Reina's family can drive 83 more miles before they need to refill the gas tank.
A similar problem is given at brainly.com/question/11713066
Evan does 33 more push-ups than Lucy
let x be the number of push-ups Lucy does , then
Evan does 4x - 9 push-ups
The total number of push-ups is 61
hence x + 4x - 9 = 61 has to be solved
that is 5x - 9 = 61
add 9 to both sides
5x = 61 + 9 = 70
divide both sides by 5
x =
= 14
Lucy does 14 push-ups and Evan does 4x - 9 =(4 × 14) - 9 = 47
Thus Evan does 47 - 14 = 33 more push-ups than Lucy
Answer:
-9/2 or -4.5
Step-by-step explanation:
-1/2 - 4
= -9/2 or -4.5