Answer:
D. The graphs of the equations intersect each other at two places.
Step-by-step explanation:
The definition of a solution of a system of two equations in two variables is a point where the graphs intersect. A system of equations having graphs that intersect each other will have as many solutions as there are intersection points. If the graphs intersect in two places, there will be two solutions.
Answer:x=7
y=2 5/6
Step-by-step explanation:
6(x-5)=12
6x-30=12
6x=12+30
6x=42
6x/6=42/6
x=7
6y-5=12
6y=12+5
6y=17
6y/6=17/6
y=2 5/6
Answer:
x>-1/3
Step-by-step explanation:
−3x<−18+19
−3x<1
x>− 1/3
He bought 19/24 pounds of grapes.
3 5
------- + ------- = 0
8 12
In adding fractions.
Step 1: make sure the denominators are the same. 8 and 12 are not the same. But both are factors of 24.
8 * 3 = 24
12 * 2 = 24
Multiply both numerator and denominator of 3/8 by 3 and 5/12 by 2.
3 * 3 5 * 2 9 10
--------- + ------------- = -------- + ---------
8 * 3 12 * 2 24 24
Step 2. Since the denominator is now the same, add the numerator and put it over the denominator.
9 + 10 19
---------- = -------
24 24
Step 3. Simplify the fraction.
19
----
24 is already the simplified form.
