Question

Solve the simultaneous equations 2x+y=5 5x+3y=12

Answer 1

Answer:

x=3 and y= -1

Step-by-step explanation:

Step 1: Solve2x+y=5 for y:

2x+y=5

2x+y+−2x=5+−2x(Add -2x to both sides)

y=−2x+5

Step 2: Substitute−2x+5foryin5x+3y=12:

5x+3y=12

5x+3(−2x+5)=12

−x+15=12(Simplify both sides of the equation)

−x+15+−15=12+−15(Add -15 to both sides)

(Divide both sides by -1)

x=3

Step 3: Substitute3forxiny=−2x+5:

y=−2x+5

y=(−2)(3)+5

y=−1(Simplify both sides of the equation)

Answer:

x=3 and y=−1