Answer:
A. (1, -4)
Step-by-step explanation:
You can try the answers to see which works. (The first one does.)
Or, you can solve the equations algebraically. Equating y-values works well here:
2x -6 = -2x -2
4x = 4 . . . . . . . add 2x+6 to both sides; next divide by 4
x = 1 . . . . . . . . shows you selection A is correct
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A graphing calculator can show you the point of intersection. Perhaps this is the way to go, since the unit seems to be on graphing systems of equations. Both of these equations are in slope-intercept form (y=mx+b), so are easily graphed by starting from the y-intercept (b) and using the slope (m=rise/run) to find another point on the line.
Answer:
4.
Step-by-step explanation:
Since Eve has already knitted nine scarves we just need to add of few more. Our equation is this: 9 + _ + _ = ?
If you do 9 + 4 + 4, you get 17. Therefor, Eve must knit four scarves per day to meet her goal.
Answer:
Total number of tables of first type = 23.
Total number of tables of second type = 7
Step-by-step explanation:
It is given that there are 30 tables in total and there are two types of tables.
Let's call the two seat tables, the first type as x and the second type as y.
∴ x + y = 30 ......(1)
Also a total number of 81 people are seated. Therefore, 2x number of people would be seated on the the first type and 5y on the second type. Hence the equation becomes:
2x + 5y = 81 .....(2)
To solve (1) & (2) Multiply (1) by 2 and subtract, we get:
y = 7
Substituting y = 7 in (1), we get x = 23.
∴ The number of tables of first kind = 23
The number of tables of second kind = 7
The answer to your question would be C 6 can be put into 18 and 24
