Answer:
x=3
y=11
Step-by-step explanation:
y = 3x + 2 equation 1
y = 7x - 10 equation 2
using equation 1 in equation 2 we have:
3x + 2 = 7x - 10
2=7x - 3x -10
2 = 4x -10
2+10 = 4x
12= 4x
12/4 = x
we have:
x= 3
using equation 1:
y = 3x + 2
y= 3(3)+2
y=9+2
y=11
Answer:
b = -4/3
Step-by-step explanation:
First, subtract the 1/2 over
-1/4b+1/2=5/6
5/6-1/2
To get a common denominator of 6, multipy 1/2 by 3
5/6-1/2(3)
5/6-3/6=2/6
-1/4b=2/6
Next, multiply by the reciprocal of -1/4, or -4
(-4)-1/4b=2/6(-4)
b=-4/3
Try breaking these into sections.
Twice: 2 times
The sum of: add
A number: choose a variable, like x
---Thus "the sum of a number and 4" becomes "add x and 4" which, mathematically, is "x+4"
-----Continuing to put it all together, "Twice the sum of a number and four" becomes "2 times (x+4)" which, mathematically, is "2(x+4)"
Is: equals
-------"Twice the sum of a number and four is" becomes "2(x+4)="
23 less than: subtract 23. This one tends to trick people; "23 less than" will become "__ - 23", NOT "23 - __"
three times the number: 3 times x
---"23 less than three times the number" becomes "subtract 23 from 3 times x" which, mathematically, is "3x-23"
-------So the final phrase: 2(x+4)=3x-23"
No is a solid answer and infinite solution well that just means anything
