5x+4/y=7,4x+3y=5
Find solutions to thes simultaneous equation
Answers
Answer:
it will help you
stay home stay safe with family
Step-by-step explanation:
Answer:
There are two main ways to solve an equation system. The first is substitution which works for nearly all equation systems, but is more tedious, and then you can also add or subtract the equations from each other (since both sides are equal).
In this case I can see that we can subtract the equations to cancel out for
y
, but we need to multiply the equations by
3
and
2
:
E
q
1
:
3
(
5
x
+
2
y
)
=
7
⋅
3
E
q
2
:
2
(
4
x
−
3
y
)
=
24
⋅
2
E
q
1
:
15
x
+
6
y
=
21
E
q
2
:
8
x
−
6
y
=
48
Now I see that the
y
's will cancel if I add the two equations, so I'll do just that:
15
x
+
6
y
+
8
x
−
6
y
=
21
+
48
15
x
+
8
x
=
69
23
x
=
69
x
=
69
23
x
=
3
And then we can just plug in for
x
in one of the equations and solve for
y
:
E
q
2
:
5
⋅
3
+
2
y
=
7
15
+
2
y
=
7
2
y
=
7
−
15
2
y
=
−
8
y
=
−
4