Add up equation 1 and 2 to eliminate b
(a+b)+(-b+c)=3+3 => a+c=6
subtract this new equation from the third equation:
(a+2c)-(a+c)=10-3 =>c=4
plug in c=4 in a+c=6 =>a=2
a+b=3, a=2 =>b=1
<h2>
Explanation:</h2>
Here we have to solve a system of linear equations in three variables. Let:
x: Cost of pens
y: Cost of pencils
We know that:
- Bailey buys 2 pens and 6 pencils and spends a total of $7.00. So:
- Jeremiah buys 3 pens and 5 pencils and spends a total of $7.50. So:
Multiplying eq1 by 3 and eq 2 by -2:
Then adding these two resultant equations:
How much will Maggie spend to purchase 4 pens?
Each pen costs $1.24, so 4 pens will cost:
1. Points that lie on the intersection area of the inequalities are solutions.
For example (0,2), (-4,4), (2,-1), (-8,0) and all others which lie in this area.
2 Not solutions are points that are on the lines (because we have signs > and <, not ≤ and ≥), or on the areas that are not intercepted. For example, (6,2), (2,2), (2,-4),(-6,-2).
The answer is 718..............................
Point and line are geometric terms for the Eiffel Tower