Answer
{-10, 9}
Step-by-step explanation:
The above are Simultaneous equations
What are simultaneous equations?
These are two or more equations that share same variables.
8X + 10Y = 10--------(1)
5X + 4Y = -14-------(2)
Multiply equation (1) by 5 and equation (2) by 8
40X + 50Y = 50 ---------(3)
40X + 32Y = - 112--------(4)
Subtract equation (4) from (3)
18Y = 162
Divide bothsides by 18
[tex] \frac{18y}{18} = \frac{162}{18} \\ y = 9[/tex]
Substitute y = 9 into equation (3)
40X + 50Y = 50
40X + 50(9) = 50
40X + 450 = 50
40X = 50 - 450
40X = - 400
[tex]Dividing \: bothsides \: by \: 40 \\ \frac{40x}{40} = \frac{ - 400}{40} \\ \\ x = - 10 \\ therefore \: the \: values \: are \: -10, \: 9[/tex]
{-10, 9}
