ALGEBRA HELP -SOLUTIONS AND GRAPH QUESTION

Question

I am having trouble with six question and school tutoring isnt helping. ANY HELP ??

 

1.How many solutions does the given system of equations have?

3/2x+4=3y

1/2x+2/3=y

A. no solution
B. one solution
C. two solutions
D. infinitely many solutions

 

 

2. If the points (2,m) and (n,3) are solutions of the equation 2.5x+3y=24 what are the
approximate values of m and n?
A.-2.4 and -2.5
B. -1.7 and -3.6
C. 6.3 and 6
D. 7.2 and 5.5

 

3.Which of these correctly explains the solution of the system of equations shown below?

A. The equations have y-intercepts at 2 and 4; therefore,(2,4) is the solution.
B. The equations have x-intercepts at 3 and 12; therefore,(3,12) is the solution.
C.
The values of X=-6 and Y=6 satisfy both the equations; therefore,(-6,6) is the
solution.
D.
 The lines representing the equations intersect at X=1 and Y=0 therefore, is (0,1) the
solution.

 

4. The graph of the equation is a line that has a x-intercept at 2.5 and a y-intercept at 5.
Which point lies on the line?
A. (4,-3)
B.(-3,4)
C.(4,13)
D.(13,4)

 

5.What is the solution to the equation 2x + (x + 9) = 153?
A.X=153/27
B.X=153/18

C. x = 12
D. x = 48

 

6. Albert invests money in an account that earns a yearly dividend. The amount, A, in his
account at the end of t years is given by the equation A=2,400+144t
Which statement is correct?
A. $2,544 represents the total amount at the end of t years.
B. $2,400 represents the total amount at the end of t years.
C. $2,400 represents the dividend earned every year.
D. $144 represents the dividend earned every year.

 

Answer 1

1 No solution. If you graph the two equations you get 2 parallel lines that never intersect. the intersection point, if any, would be the solution to the system of equations. Multiply the 2nd equation by 3 and you get the 1st equation except for the y term has a different coefficient. No values of x and y could satisfy both equations.

2 C 6.3 and 6. 19/3= 6.333...= about 6.3

3 C (-6,6) is the solution if x=-6 and y=6 satisfies both equations

4 A (4,-3) (2.5,0) and (0,5) are points on the line

with slope = m= -2 = (y-5)/x = (-3-5)/4 (4,-3) is also on the line

5 D 48 3x=144, x = 144/3 = 48

6 D 144 is the dividend for one year and for every year