Maths question asap

1. (08.01 lc)
lines a and b are represented by the equations given below:

line a: x + y = 5
line b: x + y = 4

which statement is true about the solution to the set of equations? (1 point)

it is (5, 4).
it is (4, 5).
there is no solution.
there are infinitely many solutions.
2. (08.01 mc)
lines c and d are represented by the equations given below:

line c: y = x + 8
line d: y = 3x + 2

which of these shows the solution to the system of equations and explains why? (1 point)

(3, 11), because the point does not lie on any axis
(3, 11), because both lines pass through this point
(4, 14), because one of the lines passes through this point
(4, 14), because the point lies between the two axes
3. (08.01 mc)
the graph shows two lines a and b:

based on the graph, which statement is correct about the solution to the system of equations for lines a and b? (1 point)

(0, 2) is the solution to both lines a and b.
(0, 2) is the solution to line a but not to line b.
(3, 3) is the solution to line a but not to line b.
(3, 3) is the solution to both lines a and b.
4. (08.02 lc)
the coordinate grid shows the plot of four equations:

which set of equations has (4, 3) as its solution? (1 point)

a and d
b and d
a and c
b and c
5. (08.02 lc)
which description best describes the solution to the following system of equations?

y = -2x + 3
y = -x + 1 (1 point)

line y = -2x + 3 intersects the origin.
line y = -2x + 3 intersects the line y = -x + 1.
lines y = -2x + 3 and y = -x + 1 intersect the x-axis.
lines y = -2x + 3 and y = -x + 1 intersect the y-axis.
6. (08.02 mc)

which of the following graphs shows a pair of lines that represents the equations with the solution (-6, 2)? (1 point)

7. (08.02 mc)
which graph best represents the solution to the following pair of equations?

y = 2x – 10
y = –x + 18 (1 point)

8. (08.03 lc)
a set of equations is given below:

equation a: g = 4h + 1
equation b: g = 3h + 5

which of the following is a step that can be used to find the solution to the set of equations? (1 point)

4h + 5 = 3h + 1
4h + 1 = 3h + 5
4h = 3h + 5
4h + 1 = 3h
9. (08.03 lc)
a set of equations is given below:

equation c: y = 3x + 7
equation d: y = 3x + 2

which of the following best describes the number of solutions to the given set of equations? (1 point)

one solution
two solutions
many solutions
no solution
10. (08.03 mc)
two equations are given below:

a - 4b = 10
a = b - 2

what is the solution to the set of equations in the form (a, b)? (1 point)

(-5, -3)
(-6, -4)
(-4, -2)
(-8, -6)