Answer:
Point Form: (1,-5)
Equation Form: x-1,y=-5
Step-by-step explanation:
Add the equation in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
Answer:
x = 1
y = -5
Step-by-step explanation:
This is a simultaneous equation question.
We are given two equations and we shall label the equations as equation 1 and 2.
2x + 5y = -23...... (i)
5x + 13y = -60......(ii)
Step one
First step to solving simultaneous equations by elimination method is to ensure one of the terms that has an unknown, (in this case, either x or y) is the equal in the two equations.
To do this, we multiply equation one by 5 and equation two by 2
5 x (i) = 10x + 25y = -115.... (iii)
2 x (ii) = 10x + 26y = -120....(iv)
To eliminate the term that has x, we subtract equation (iii) from equation (iv)
(iv) - (iii) =
(10x - 10x) + (26y - 25y) = -120 - (-115)
y = -5
We substitute the new value of y = -5 into equation (i)
2x + 5y = -23
2x + 5(-5) = -23
2x - 25 = -23
We collect like terms by adding 25 to both sides of the equation
2x - 25 + 25 = -23 + 25
2x = 2
We divide both sides of the equation by the coefficient of x to find the value of x. The coefficient of x is 2
2x/2 = 2/2
x = 1
Therefore, the solutions to the simultaneous equations using elimination method are
x = 1 and y = -5
