solve the system by substitution 5x + 3y = -19, y= -2x-8?

Answer 1

5x + 3(-2x - 8) = -19
- x - 24 = - 19
x + 24 = 19
x = - 5

y = 10 - 8
y = 2

x = - 5 , y = 2

Answer 2

Just substitue the y= -2x-8 into 5x+3y= -19

So it would be 5x+3(-2x-8)= -19 and solve for x.

Once you find x=?, take the answer and plug it into any of the equations and solve for y.

Answer 3

5x + 3 (-2x - 8) = -19, so 5x - 6x -24 = -19, therefore -x = 5 x=-5

then 5 (-5) + 3y = -19, -25 + 3y = -19, 3y = 6, and y = 2

Answer 4

plug in -2x-8 for why, it'll look like this.

5x+3(-2-8)=-19 then solve.
plug x back into y=-2-8 and you'll get y.

Answer 5

i assume you're asking us to clean up all of those for you, yet that is plenty. indexed right here are some examples and issues you need to understand as a manner to do those issues: a million. If f(x)=2x+a million, then f(a)=2a+a million, so which you exchange regardless of is interior the parentheses the place the x is, additionally f(a+a million)=2(a+a million)+a million=2a+2+a million=2a+3, so out comes a clean expression. 2. If x + 2y = 5 then 2x + 4y = 10 and -3x - 6y = -15 are each and all of the precise comparable ingredient. So, while doing the "addition" approach interior the 4th concern you indexed, you will ought to multiply one equation (or the two) by potential of a few quantity so as that when you upload the equations jointly, the two each and all of the x's or each and all of the y's will bypass away: occasion: clean up x + 2y = 4 -3x + 3y = 2 to do away with the x's, considering there are -3 of them interior the backside equation, you will possibly want 3 of them interior the authentic equation so as that when you upload the equations jointly, you get 0 x's: multiplying each and every thing interior the authentic equation by potential of three provides 3x + 6y = 12 <---- new 1st equation -3x+3y = 2 <-----comparable 2nd equation ------------------------ 9y = 14 <----------you could now clean up for y 3. to graph, you could the two use Intercepts or exchange the two between the equations to the Slope-Intercept variety, y=mx+b so which you will graph them. you mustn't plot factors. confirm you prepare doing those without plotting factors. bear in mind that y=mx+b, m=slope = y/x, and b is the y-intercept, the place the graph hits the y-axis occasion: -2x+y=4 A) Intercepts: If x=0, y=4 (this delivers one factor). If y=0, then x=-2 (this delivers yet another factor) Graph those 2 factors and draw a line between them. B) exchange to y=2x+4. start up at y=4 on the y=axis. the slope of two is the comparable as 2/a million which potential you bypass up 2 and to the right a million to get to the subsequent factor. as quickly as you have those 2 factors, connect them to get your graph. 4. Substitution is fixing for one letter in one equation and plugging what you get into the different equation. occasion: clean up 2x+y=4 and 3x -2y=8 use the 1st equation and clean up for y, providing you with y=4-2x now, placed 4-2x in the place the y is interior the 2nd equation: 3x-2(4-2x)=8. now which you in straightforward terms have one letter there, x, you could clean up for x. do no longer forget to distribute the -2!!! desire this helps! enable me understand in case you have the different questions.

Answer 6

5x + 3(--2x --8) = --19
=> --x = 5 => x = --5
y = --2x --8 = --2(--5) --8 = 2

Answer 7

y=-2x-8
5x+3y=-19
5x+3(-2x-8)=-19
5x-6x-24=-19
-x-24=-19
-x=5
x=-5
y=-2x-8
y=-2(-5)-8
y=2
(-5,2)