Asap pl solve the following system of equations by linear combination: 3d – e = 7 d + e = 5 there is no solution. the solution is (2, –1). there are an infinite number of solutions. the solution is (3, 2). 1 points question 2 solve, using linear combination. 4x + y = 5 3x + y = 3 (0, –3) (0, 5) (–3, 7) (2, –3) question 3 solve using linear combination. a – 2b = –2 2a + 2b = 14 which ordered pair in the form (a, b) is the solution to the system of equations? (4, 3) (3, 4) (1, 6) (5, 3) 1 points question 4 solve, using linear combination. 11x + 4y = 18 3x + 4y = 2 (2, 0) (4, –5) (2, 1) (2, –1) 1 points question 5 solve the following system of equations by linear combination: 2d + e = 8 d – e = 4 there is no solution. the solution is (5, –2). there are an infinite number of solutions. the solution is (4, 0).'

QUESTION 1

The given system of equations is




To solve by linear combination, we add equation (1) to equation (2) to get,





We divide through by 4 to obtain,





We put d=3 into equation (2) to get,









QUESTION 2

The given system is

4x + y = 5 ...eqn(1)

3x + y = 3 ...eqn(2)

To solve by linear combination, we subtract equation (2) from equation (1) to eliminate y from the equation.

This will give us,



This implies that,



Put x=3 into equation (1) to get,









The solution is



QUESTION 3

We want to solve the system;

a – 2b = –2 ....eqn(1)

2a + 2b = 14...eqn(2)

by linear combination.

We need to add equation (1) to equation (2) to eliminate b.

This implies that,



Simplify,



Divide both sides by 3 to get,


Put a=4 into equation (2) to obtain,










The ordered pair in the form (a, b) is



QUESTION 4

The given system of equations is

11x + 4y = 18 ...eqn(1)

3x + 4y = 2 ...eqn(2)

We subtract equation (2) from equation (1) to get,







Put x=2 into equation (2) to obtain,



This implies that,









The correct answer is (2,-1).

QUESTION 5

The given system is ;

2d + e = 8...eqn1

d – e = 4...eqn2

We add the two equations to eliminate e.

This implies that,





We divide both sides by 3 to get,



We put d=4 into equation (2) to get,









The solution is